I would recommend that you don't go North but West.
Miami-Las Vegas-Miami will take about 45 hrs in the usual 160 HP SE.
veer off a little to the North on the way back and go to Memphis and Nashville.
In Texas go to San Antonio, El Paso, Houston, Galveston.
Nice aviation museum in Galveston.
In Louisiana go to New Orleans Lakefront.
Mobile , Alabama.
Pensacola, Florida
Kissimee, Florida "Wild Stallion" Mustang place with P-51's.