I've dragged some pretty heavy trailers behind my 1500 that I really probably shouldn't have with 35s and stock brakes but nobody died and I had no accidents. You just have to be concious of what's ahead and how much your being pushed. I know my little 318 can set some serious weight into motion but stopping it is the problem.
For just one move I'd probably do it if it doesn't bottom out the leaf springs
96 ram 1500 4X4 second owner
currently 2.5" spacer up front and 2" add a leaf in rear
9k warn and brush guard and 260k mile mod