Compact has lots of meanings today with most scopes being about as long as your arm! How short do you want to go?
I am not sure how far you plan on shooting that gun but estimating what it weighs and with the shorter barrel my guess is you aren't going much past a 1/2 mile or so. If that is the case you don't need a whole lot of power. If you can keep around 10x or less on the top end then you can pretty easily lose the requirement of a side focus which may help add some more options.
SWFA has an excellent 3-9x42 right at $600. It is a great scope all round. good glass, excellent durability, excellent turrets all in a pretty compact setup. It has a nice reticle too if that is important.
Scot E.