Probably 4K AGL or 9-10K MSL. No flight following going southeast unless you're at 9K MSL. IFR is ok because those are the IFR minimums. I really wouldn't recommend leaving after noon, you will not be a happy camper. Stay over, leave early in the morning.
It's not just the bumps, it's the DA, which is more critical, even with the turbo. This timestamp - 3 pm MDT KAPA Centennial, which is 5 miles from my house - temp is 78 F, station elevation is 5680 MSL but DA is 8300 MSL. It will take you a bit of time to get to the flight levels, and that's the time you'll be miserable.
Since you're going to be here, may as well stay an extra day or two, fly to Leadville and get your certificate for landing at the highest paved airport in CONUS. Crew cars are handy, and there's a fantastic diner in town. Depending when you're here, I'll happily come along and point out the route.
This timestamp at Leadville KLXV - Temp 69 F, station elevation is not quite 10,000, but DA is 12,300 MSL. Plus, you need to pop over the hills at 12.5K min. Hm, Wilkerson Pass is my route, east of Leadville, station elevation is 11,300 DA is 13,600 right now. Note: today is a cooler day. Later this week, Denver area will hit 100 (very unusual) but in July, 90s are common.
PS - only strangers call it Lake County (it's real name). Everybody in Colorado call it Leadville on the radio. First time I heard "Lake County", I asked where they were.
West of Leadville is Salida/Monarch Pass. Temp 60, station elevation 12K, DA 14K.
You shouldn't have any problems with the T210, just providing a bit more data.
Welcome to Colorado.