I pulled two of my .22 rifles out this past week to try for some squirrels, and found that both of them shoot inordinately high. The back sight is bottomed out, and in the case of my Browning, hinged so that removal of the bridge is not even possible. Is this unusual?

The BL-22 does have a rail for mounting a scope. Any recommendations for a decent .22 scope that will make an adequate plinking, squirreling gun? I'd really rather not spend all that much, but then I figure with the recoil of a .22, it may not take near as much scope to equip.
Some hunt for racks, some hunt for roasts. I hunt for sheer joy; the aforementioned items are merely fringe benefits.