Interesting question. I have used trail cameras for mule deer several times. They are much less consistent than Whitetails or blacktails. It seems as the bucks would be there 2 or 3 days straight, then gone for 2 weeks and then back again for a few days. if you have the ability to throw salt down, they will come more consistantly. I hunt deer in the high desert of Oregon and missouri breaks of Montana. Both places have limited water depending on the year. Water holes are aleways a good bet, but finding a trail next to water to put the cam by is a better bet. fenceposts seem to work pretty well actually. In the late summer and early fall, mule deer seem to like grassy shady areas, so i have put cams in creek bottom areas with cottonwoods and brush. If you hunt them in September or October, they will likely be close to those areas. However by the time November hits, paterning Muley Bucks can be very tricky and frusterating, I have seen bucks move 3 miles in a day looking for hot does and not come back for a week. In mountainous high country type terrain, you will likley be able to isolate a buck to a single drainage or even a small area in thay canyon that makes finding them a little easier.
good luck, share some pictures we would all love to see them.