Dunno about MO, but in AZ it is illegal to discharge even a pellet gun within city limits. They actually confiscate the pellet rifle and there is a fine that goes with it, IIRC.
Call your local Game and Fish and ask them would be about the best advice I could offer. I have to admit, there is a part of me that would love to sit on the kitchen counters with a cold beer and snap squirrel for dinner...
But then, hunting is mostly about getting outdoors and away from it all, to take time with nature and one's God to settle the usual commotion of life. So in that respect, I'd rather drive a few hours to a secluded spot, hunt all day, and come home a happy and refreshed man and then have that cold beer, even if I never squeezed off a shot.
I mean, dude! You live in MO for crying out loud! You drive an hour in any direction and you'd surely be able to find some solitude and decent hunting, yes? Take a day off and go to God's country as a reward for all your hard work.
ETA: What are .22 cb caps? I don't think I've ever heard of those before. I can't see shooting a .22 being legal anywhere within 2 miles of any occupied structure, and I sure wouldn't do it just because of the safety risk.