For deer and hogs you could drop your caliber quite a bit. A 45, if legal where you are is way more than sufficient for both and loaded with 60-70 grains of powder hardly qualifies as something that produces "recoil".
I have hunted deer for a number of years with a 40 cal - legal where I am and my range does not exceed 50 yards, but never lost a bambi shot with a 40.
I would ask why you are looking for so much "fire power" for a "medium game" weapon. You will burn un-necessary powder, won't gain any range and will punish your shoulder every time you pull the trigger.
If you were hunting bear/elk/moose the larger cal's may be some insurance, but even a 50 Cal slow twist shooting a PA Conical gives you the same "thump" as a 54 round ball.
Something to consider.