If you would be willing to cast your own bullets, there's an RCBS (I think) mould designed by Dave Scovill (Handloader/Rifle/Successful Hunter mags) that is 270 grains - semi wad cutter design. He designed it as the optimized 45 Colt bullet.
That's what I would suggest as the very best option.
A good 250 grain hard cast lead semi wad cutter bullet loaded to around 950 fps would make a dandy hunting bullet - keep it under 75 yards - if you can hit a 8" pie plate every time, off-hand at that distance - that's my recommendation for your maximum distance (the distance you can do that).
The "cowboy ammo" loads out there are really too mild for a good hunting load - I suggest handloading and if you have no experience but wouldn't mind giving it a whirl, then go with the Lee Loader ($16) from somebody like
http://www.midway-usa.com
That would allow you to use a wide variety of compent bullets too.
And yes, you can use jacketed bullets - just clean the barrel thoroughly to remove the jacket fouling after shooting them or it'll negatively effect your cast bullet accuracy.