Twain and 3PCD are absolutely correct.
You could spend 2 days in east EP somwhere near the "lomaland" exit;
2 days in west EP near on "mesa" for example plenty of hotels there;
and you if give the guys in Las Cruces a heads up you could spend a day or two here in las cruces, there is a number of good places to stay near the university (university ave) and pretty good places to eat around here too
Or perhaps start in Cruces and work your way back to west EP then east EP and maybe stay in east EP (which is probably where you will get the most business) until it starts to slow down for you?