There is also merrit in caliber, like bigger. Maybe a 358 or 35 whelen or 338-06. They aren't as explosive as smaller faster bullets but start out bigger and make a bigger hole. I have a single shot pistol in 35 remington, I've only shot 2 deer with it but it did the job just fine and the deer didn't go more than 50 feet after being shot. I have also shot deer with a 338 win mag, the one buck I shot with it fall flat on his face, of course I got him thru both shoulders breaking both front legs. Shot placement is the most important. If you hit them in the spine or brain they go down instantly and if you break both front legs they go right down too. Another thing I've noticed with the 35 rem and 338 mag is they didn't destroy as much meat as smaller faster bullets do and they penatrate better. On the other end I've also killed deer with a 22-250, hit in the spine the deer fell flat on the ground.

Just my nickle's worth of experiance.