cross country in small tt

It all depends on how much time you actually have. You don't say what time of year you are going. I assume sometime between May and September. The heat out west can be brutal so you need to be certain your equipment is in top shape. Most important is to make certain your TV and TT are in top mechanical shape before you head out. If the tires on your TT are aging you may want to replace them. Either check and repack the TT wheel bearings yourself or have it done. The heat out west is a large factor so monitor your tires. I bought a Tire pressure monitoring system that gives both pressure and temp. I watch it carefully to monitor especially the temps during the drive. I have travelled 3 times from Asheville NC to Sedona AZ. The first time I over estimated the hours one could drive without being fatigued. Due to reservations I ended up with a couple of 8 hour days...way to much. Figure on 300 to 350 miles and roughly 6 hours. Stop to setup before dark. If you have plenty of time and want to sight see you can get off the interstate and go at a more leisurely pace. The last time out we spent 5 days in Texas at Palo Duro Canyon State Park then on to Albuquerque for 5 days with side trips to Santa Fe and Taos then on to Flagstaff and Sedona, 6 weeks in all. The return trip was a "let's go home" and so I programmed 6 days for drive from Flagstaff to Asheville along I-40.

My top 2 pieces of advice; make sure your equipment is in top shape and plan enough driving time in days so that you don't get overly fatigued.