I haven't seen the R. Gibson work, but if you're looking for bulletproof, high-contrast and high density negatives from Tri-X, it should be easy to get them in the desert. Set your meter for, say, EI 100, shoot away, and then give the film normal or N+1 development (say, HC-110 B, 9 1/2 minutes at 68F/20C). Be prepared to stand over your enlarger for a LONG time when printing...

However: I wouldn't recommend shooting important images with anything you haven't previously tried. TEST this before you go out into the desert. Shoot a couple rolls at the local beach, bracketing from, say, IE 400 down to EI 100, take good notes, and give one normal and one N+1 development -- then see which negatives you like.