A 10/22 will shoot very accurately with good ammo, and even fancy match stuff will cost a tenth of the cost of decent centerfire ammo.
50yd is a good starting point. With good ammo, you should be getting groups the size of a quarter or smaller. Once your fundamentals are solid, move further so you can learn to factor in drop and wind.
"Fit" is way less important with a rifle than a shotgun. If you can get the scope at the proper eye relief, when shooting from a bench with your cheek on the comb, that's enough. Every rifle will require a slightly different position due to different scope eye reliefs, different stocks, etc. Don't try to emulate a different rifle, just set your 10/22 up the way it works for you.