If I had enough lift to fit them I would get the Mickey Thompson Baja Belted in a 34x11.50R16, but I dont know what price range you are looking for, but those are about 200 bucks apiece.
Dunlop doesn't make that size. Only 32, 33, and 35 and everything else below that. The trXus MT does come in 34x12.5x16 if you were wondering. It's a great tire, and I haven't heard anyone bash them.
Im lookin for a 16" radial tire so forget about the bias ply. 12.50 inches wide is a little bit to large since im gonna be runnig liberty renegade 16x7 wheels. I tought about the dunlop mud rovers but they dont come in a 34/11.00 size but in a 225/85-16 which is alomost 34/11.00 ...