Your Globetrotter is of the sub-5000lb narrow body variety. This gives you a very wide choice of tow vehicles, from midsize SUV, full size older cars, and of course full size SUV's, vans and pickup trucks. I would stay away from 6-cyl cars and or trucks, and would prefer a body on frame type vehicle over unibody vehicles.
Generally, longer wheelbase vehicles with tow rated axle ratios, and factory tow packages give the best results. I tow with a 97 Suburban 1500
, which gives me 18hwy, 14 city, 10-12 towing mpg, for example.
This is just a starting point. Once you find something you like, update your thread, and I am sure someone will have much insight on your choices.