I would go with the .357 and ream it to Maximum. Sight in and practice with .38s and mags. Adjust your sights and hunt with the Maxis, which as CW said are available.
I don't know how old you are, but I encourage you to start reloading as soon as possible. I'm going to give you a somewhat extreme, but very real example using quality components:
Ammo for my .356 is locally priced at 55 bucks a box. That is 2.75 a shot.
Buying brass and loading a quality bullet and powder the first time costs 1.50 a shot.
If I reload the brass six times, the price drops to 80 cents a shot or 16 bucks a box, a savings of 39.00 a box.
A few boxes loaded pays for the basic equipment.
Good luck with whatever you choose.
Pete