I am fully in favor of being up to your ankles in .22 brass as a starting point. Having said that, a handgun hunt is a challenging even, but not as difficult as small game hunt with a .22 RF. I personally want to use my hunting gun for lots of off hand shooting with a reduced load at 50 yards. All of my big game shots have been at less than this distance. I have no idea of a source of cheap, accurate, ammunition for the .41 Magnum that doesn't involve reloading. The good news in that the same bullet you practice with can be used for hunting, any good cast bullet, properly shaped for the purpose, of proper diameter, with a plain base to cut costs, will work. I like 10 grains of Unique for practice with a 215 grain SWC and 18 grains of 2400 for hunting. The Federal Cast Core bullets are a good factory choice, I'd guess, but I've never seen them "in the flesh". I think they use Cast Performance bullets. If you want factory for final zeroing before your hunt, Buffalo Bore offers:
Item No. Heavy .41 Magnum
16A 265 gr. LWN-GC 1350 fps
1072 ft. lbs. Per Box of 50
$60.99
16B 230 gr. SWC (Keith-type)
1450 fps
1074 ft. lbs. Per Box of 50
$60.99