Ok, I'll take a quick stab. Don't worry about 501's (can't even remember seeing one of those) vs 511's or confusing 513's, 515k's etc. until you get to a specific plane and a detailed review of engine status and history.
Sounds like a -10 900 might be best if the 10,775 gross makes a big difference. A -10 900 is typically rivet by rivet identical to a 1000 with the exception of the higher TO TQ rating, lack of SRL computers, and, potentially, lack of the goofy high altitude stall warming system which would be required for RVSM. Real world, a -10 900 is effectively identical at cruise and in every meaningful way and the power difference down low is something one easily could "work around" if an emergency situation required it. There are many other considerations of course, but that's the short version.
I noticed somewhere along the way that you said it might have to sit outside. That would not be a good situation for any plane of this age or class. Financially, you'll be money ahead in the hangar in my opinion.