Stay with a 240 - 250 grain lead bullet with a sharp shoulder (Keith type, or LBT with a large metplate) at around 1000 fps. Basically a stiff 44 special load. Will penetrate deep, and kill well. Problem with jacketed bullets at that speed, or lightweight lead, is lack of penetration or expansion. Try to aim for a shoulder so you break some bone on the way thru, and no deer hit with such a load will go far. For 50 yards and under, its all I use anymore myself.
Larry