Very much depends on altitude. If you are above 1000' AGL, you will probably have some time to troubleshoot and secure.
At or below pattern altitude, you are coming down fast, and you are going to be concentrating very intently on your flight path, landing site, and aircraft attitude. You will be processing a lot of very critical observations and making constant adjustments to ensure you arrive at a small spot on the ground. Taking your eye off your landing point and airspeed is very much against human nature, so IMO any checklists better be 100% committed to memory and consist entirely of survival-critical tasks such as shutting off fuel and power. And you better know exactly where those things are and be able to do each by feel in about 1 second without taking your eyes off your flight path and ASI.
Good points Ed, all true. Plus I'll add that the closer to the ground you get, more details of what's waiting for you come into view. Like wires, rocks, gullies, uneven terrain, etc. Any of which could change your reachable landing choice selection and require some extra maneuvering to get there. Carry a few extra knots of airspeed for any last minute changes of touchdown points.
Was it Bob Hoover who said, "fly it into the crash as far as you can"? If that means fluttering it into treetops, or positioning the nose between two tree trunks (or fence posts), or a water ditching, or wherever you've decided to make contact. Be prepared to fly it all the way there, then into it, and make the best out of it. Stick and rudder until it stops, and get out, fast.
My only off-airport landing occurred in a rented PA-140 due to a severe vibration and large power loss from 2000' AGL. Compared to what's been discussed, 2000' sounds like providing a lot of available time, but positioned away from any runway, even from 2000' time goes quick. Didn't know it wouldn't hold altitude until the airspeed probably bleed off to somewhere around best glide speed, then positioned the nose and trim to an approximation of best glide (the instruments were vibrating so much it was an estimate, but felt good).
After fiddling with the engine controls it took a little time to finally realize the engine wasn't going to magically straighten itself out, and it was time to change gears to survive. With the engine still producing a little power, the descent rate wasn't too steep, which fortunately provided more time to focus on finding a survivable landing site. And at first, nothing looked even slightly promising. The thought of reaching out for help on the radio never occurred, I was still in the aviate / navigate stage. Then, I found the spot and went for it.
While on a high modified left base, reduced power to idle and the prop stopped cold. Turned final and slowed down to over the fence speed (the airspeed indicator minus the vibration was now reading accurately). Didn't remember to put the flaps in until beginning the flare, and still don't remember the moment of touchdown (adrenaline dump memory loss).
The flight school flew the plane out the next day. Long story, but the thought process that occurred during the various stages of the emergency are all there, including the engine issue, which was not common. If interested in the details, the entire story is published on Air Facts @
https://airfactsjournal.com/2025/05/no-power-no-time-a-glide-toward-shore/