It's hard to beat an accurized Ruger 10-22, standard barrel weight, stainless, if possible. A semi-auto will often bring down lots of larger pests quicker than a bolt-action .22 mag. Actually, I love my CZ455, .22 mag and carry it instead of my bull-barrelled 10-22, just because it's lighter and adds at least 50 yards to the killing zone for most pests.
The other rifle I carry a lot is a .243 Win, Tikka T3 Lite. I really love that rifle, but if I want to shoot at various items along the way, it gets expensive, especially reloading-time wise. It's my go-to coyote rifle.
For handguns, I find myself carrying my .22LR, Beretta 87 (note that we don't have poisonous snakes in Maine). It's very light and shoots very well, with a good hand-filling grip. For longer shots, I carry a .22LR, Ruger MKII with Bushnell micro red-dot sight. Not as handy, but it fits under my belt fairly well. I've yet to try the old holster I just modified (butchered) to fit the rig.