I've been following this thread with some interest. Glad we don't have a rattler problem here in Mi. Seeing what the OP is trying to do, I see black powder as an answer, with several ways to approach it. Load the TC Encore with a primed case, and then load from the muzzle with about 30gr 3f, over powder card, then a paper patched load of shot, over shot card, and Bob's er uncle.
Years ago, I built a CVA .50 Kentucky pistol kit. Played with it a few years then had the rifling bored out to .54 smooth. Loaded with 28ga shot cups or just wads. 35grs fff was quite entertaining and I took a few grouse with it during our muzzle loading season. I eventually sold it off and replaced it with one of these boot guns that, similarly loaded, could also be some potent snake medicine.
https://oldarmsofidaho.com/product/c...-black-powder/
Personally, if I had a snake problem around the house, I'd likely get a long bbl. 38spl Derringer and load it heavy with bp and fine shot as suggested above. They make holsters for them that would make it convenient to carry around while doing chores.
https://www.budsgunshop.com/product_...-+long+bore+38
https://www.etsy.com/market/cobra_derringer_holster
http://www.timelyaccessories.com/Cob...-Holsters.html