They are called squirrel rifles for a reason.
I admit, though, that I'm fond of experimenting.
Is it legal to hunt deer with a .32 or a .36 where you live?
A .36 needs 40 grains or so of FFFg to push a 65 grain RB to 1800 fps. How much powder will you need to push a 200 grain bullet to the velocity that you want? (even if you could stabilize it). What would fouling be like in that pencil sized bore?
Pete