I'm a non resident, but apply in utah for their limited entry elk units, ie the elk units with big elk!
I believe it's POSSIBLE to draw your 1st year, though highly unlikely, as a non-res I think I'm looking at 10years before I draw....if not longer.
I think a res, or anyone for that matter can hunt spike bull elk annually...but limited entry units for big elk take some time....probably more likely to draw sooner as a res I assume...