yup. First time I went from Virginia to UP Michigan, caught US Rt 2 to Redmond, WA, down the Pacific Coast Hwy and US 101 to LA, then back via I-40 and Route 66. Towing a 21 foot TT with a diesel Jeep Libby.
Second time, took I-64 to St. Louis, then I-70 through Denver and Grand Junction, CO and south on I-15 to Las Vegas. From there, circled the Grand Canyon, hit Bryce and Zion, and back through Vegas then home, again via I-40.
You didn't mention how long you plan to take, but if it is less than 3 months, you are crazy.