I assume you mean a Nonresident Rifle Deer tag since there are GMU 4, 2nd, 3rd, & 4th season, Rifle, Private Land, "Either Sex" deer tags ... but only cow tags for elk.
Those deer tags are good for a few different areas and GMU 4 is where most of the bucks are taken.
This is especially true 4th season when bucks push into their lower elevation winter range in GMU 4.
Much of that is Private Land so if you have a landowner tag you may be in business.
This is not normally a trophy area ... but you never know!