Assuming you are leaving soon, and thus will be in Winter conditions, I recommend being prepared to winterize your trailer on the road, as you may hit bad weather along the way. Years ago we were heading west on I-10 in December, and hit a bad blizzard in Abilene Texas, which required a hasty (and incomplete it turned out) winterization at a gas station. The Viarr 450 12-volt compressor will be on our next such trip.
In terms of sights to see, Carlsbad Caverns is amazing. We camped at a KOA in Van Horn TX, and made a day trip north to see them. Well worth it. [Edit -- Whoops, looks like Texas Rt. 54 is closed going north.]
If you are not leaving soon, when are you going? A Spring or Summer trip would involve different considerations.