What SUV's will tow Jayco Jay Flight 32TSBH or Eagle 324BTS

NO SUVs today. They don't have the receiver hitch rating or the payload.

Vans are getting hard to find also but GM would be the only maker to offer one if it has the tow capacity. Ford and Dodge stopped making vans that have any real decent tow rating. The 1 ton van should have the payload needed but check the receiver hitch rating, I would want at least a 12,500/1,250 lbs rating for those heavy tongue weights.