You'll want a truck or SUV
and you'll want a class 3/class 4 hitch. That's the one where the inside diameter of the receiver is about 2 inches.
My Oday 22 is on a single axle trailer, but it's a strain, and I don't go very far. 250 miles is about 5 hours, so you don't want too small a vehicle- it'll be hell on the transmission.
Any vehicle with a factory tow package will be okay- they come with a trans cooler. The Explorers are mostly 6 cyl, and they can tow it. For comparison sake, the Escape, the next smallest SUV, could not handle it (front wheel drives don't tow well- hence the advice of truck or SUV). Good Luck-
cup
ps- a bumper hitch? don't do it...