This is what I run on my personal 22 that is just a mess around squirrel rifle
Vortex Optics - Crossfire II 2-7x32 V-Plex Rimfire
mueller and nikon prostaff will have some options aswell. Price on the scope above is 119. I know the prostaff does not have as good glass quality as the scope I linked, but it may be a few bucks cheaper
I will keep the vortex in mind when I decide to buy, how much more is the 3-9 x40 in that line.