Generally speaking, going to the source is always better than getting random input from internet experts. This is the FAA's opinion on the matter:
https://www.faa.gov/pilots/become/deaf_pilot/certification/
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Deaf Pilot Frequently Asked Questions
Certification
Are there limitations placed on a deaf pilot's certificate?
Yes. A deaf pilot's certificate will include the limitation, "Not Valid for Flights Requiring the Use of Radio" (14 CFR section 61.13).
If I am deaf, can I obtain a pilot certificate?
Yes, an individual who is deaf can obtain a pilot certificate in one of the five categories of aircraft: airplane, rotorcraft, glider, powered-lift, or lighter-than-air.
What are the differences in the certificates?
A student pilot certificate is designed for the initial instructional period of flying. The student pilot is limited to flying with the flight instructor or solo after appropriate instructor endorsements (Title 14 Code of Federal Regulations (CFR) sections 61.87 and 61.89). A recreational pilot certificate limits the holder to specific categories and classes of aircraft, the number of passengers which may be carried, the distance that may be flown from the departure point, flight into controlled airports, and other limitations (14 CFR section 61.101). A private pilot certificate permits the pilot to carry passengers and provides for limited business use of an airplane (14 CFR section 61.113). A commercial pilot certificate permits the pilot to conduct certain types of operations for compensation and hire (14 CFR section 61.133).
What are the grades of pilot certificates?
There are five grades of pilot certificates that are available: student pilot, recreational pilot, private pilot, commercial pilot, and airline transport pilot.
What types of certificates can a deaf pilot obtain?
A deaf pilot can obtain a student pilot certificate, recreational pilot certificate, private pilot certificate, and, on a limited basis, a commercial pilot certificate; for example, agricultural aircraft operations, banner towing operations, or any operation which does not require radio communication. With new interface technology for incockpit receipt of weather information and digital communication, additional pilot certificates may be available to deaf pilots in the future.
Page last modified: March 20, 2013 7:46:15 AM EDT"
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Take all of what follows as the above mentioned random internet input but it might help give you an idea what you could do with a pilot license with a no radio communication limitation.
Assuming you are not a pilot, the statement "Not Valid for Flights Requiring the Use of Radio" might need some discussion and clarification.
Two way radio communication is required in class A, B, C and D airspace. It is not required in Class E or Class G airspace.
Out west, Class G airspace is fairly common from the surface to 14,500' mean sea level (MSL) except where there is other airspace above it. In the eastern US, there's very little Class G airspace above 1200 ft above the ground level (AGL), as above that is almost always some form of other airspace. However, you can still have a lot of fun in a light sport aircraft, or in a champ or cub type aircraft and never get above 1200' AGL. There is no requirement to have radio communication with anyone in Class G airspace.
I recommend you get a sectional chart for the area where you live/intend to fly and see what airspace you have in your area. On a sectional chart you'll see airspace marked with fuzzy blue and fuzzy magenta lines, as well as dashed and solid blue and magenta lines, and you'll see floor and ceiling altitudes in altitude MSL.
Class G airspace goes from the surface to the floor of any overlying controlled airspace, or if there is no other overlying airspace, to14,500' MSL.
The airspace from 14,500' MSL to 18,000' MSL ft is Class E airspace in the 48 contiguous states. Class E airspace is also found at lower levels where there is controlled airspace other than Class A, B, C or D airspace. Lower lying Class E airspace with a floor of 1200 ft above ground level (AGL) is shown on a sectional chart with a fuzzy blue line with the fuzzy side being the side with the floor (and Class G airspace on the other side). If it has a floor of other than 1200 ft AGL, it will be marked in feet MSL.
You'll also see fuzzy magenta lines on a sectional chart that indicate the floor of Class E airspace is 700 ft AGL, usually around airports to allow IFR traffic to descend to the airport in controlled airspace.
As you get closer the airport, you'll see on the chart a dashed magenta line which indicates the Class E airspace goes all the way to the surface. That allows for ATC separation services all the way to the ground for IFR flights. However, that service is only available when ATC communication and weather reporting services are available.
In any event, there are no radio communication requirements for flights in visual flight rules (VFR) conditions in Class E airspace.
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Weather minimums for class G and E airspace vary but are generally pretty permissive and if the weather is below minimums you don't want to be flying VFR anyway. Even 1 mile and clear of clouds can be a bad idea as weather can go down below that very quickly and can make it very hard not to hit a tower or a terrain feature.
In Class E airspace at all altitudes less than 10,000 ft MSL, the requirements are:
500' below clouds
1000' above clouds
2000' horizontal from clouds
Visibility must be at least 3 miles day or night.
In Class E airspace at altitudes at or above 10,000 ft MSL, the requirements are:
1000' below clouds
1000' above clouds
1 mile horizontal from clouds
Visibility must be at least 5 miles during the day or night.
This is because you encounter faster aircraft above 10,000 ft MSL so greater visibility is needed for safe separation.
In Class G airspace more than 1200 ft AGL and at or above 10,000 ft MSL the requirements are:
1000' below clouds
1000' above clouds
1 mile horizontal from clouds
Visibility must be at least 5 miles during the day or night, again because you may encounter faster aircraft.
In Class G airspace from 1200 ft AGL to 10,000 ft MSL, the requirements are:
500' below clouds
1000' above clouds
2000' horizontal from clouds
Visibility must be at least 1 mile during the day and 3 miles at night.
In Class G airspace below 1200 ft AGL, the requirements are:
clear of clouds with visibility of at least 1 mile during the day.
At night the requirements increase to:
500' below clouds
1000' above clouds
2000' horizontal from clouds
Visibility must be 3 miles
