I put a Simmons 22Mag scope on one of my 10/22s and it functions beautifully as a squirrel gun. I can pick off squirrels at 75 yards all day long with it. I think the eye relief on it is right around 3.5 or 4 inches.
Cost... $60 NIB.
If you want to spend a little more you can get a low end Nikon and that'll be more than what you'll need for your typical/average .22lr uses.
Btw if you need a scope with bullet drop measurements etc. for a .22lr you're probably shooting out further than you should be with a .22lr.
Even when shooting my ex-wife's fine china plates at 200 yards I don't use a bullet drop comp. I just aim WAY above the plates!
Seriously though that Simmons does perfectly fine for me when I'm perforating pumpkins, watermelons or any other large vegetable I can find at 200 yards with my 10/22. Sure I sometimes miss and my grouping is about the size of the vegetable but hey I seriously wouldn't shoot at any game with a .22lr at 200 yards.