Squirrel hunting is probably my favorite activity, fall through winter.
..not only do they taste great, but there are about ten-thousand ways to prepare them.
In my neck of the woods, they are EVERYWHERE, and BIG. Simple hunting, and you're not fighting the clock having nearly six months to chase them from late summer through deep winter.
Rabbits are fantastic as well, though I don't have a beagle, and most of the ones shot are incidental to trapping, hunting deer or whatnot.