What more do you want? The 357 magnum you already own will do all that you want. The effective range for hunting with that gun could easily be 100 yards, although for most of us mortals, our accuracy limits us much closer. A 44 special will not gain you anything significant, and may be a downgrade. There are stronger rounds out there, but your specified recoil and performance standard of a 200 grain at 1000 fps puts the 357 magnum as the top of the heap.