IMO, your best choice is Old Mexico if the parameter are (1) trophy mule deer (2) once in a lifetime (3) and you don't have 20 years to draw one of the covedted tags which doesn't help a group.
If you have any thoughts of a combination hunt (elk/deer), take a look at Montana's guaranteed/outfitter sponsored tags. A big mule deer will be the challange, but the elk are back. An outfitted hunt on horseback might be the adventure of a lifetime.
