Here's what I'd do in your situation, rather than being pressured into buying a mistake that depletes your budget.
If you can't beg borrow or steal a pickup truck for the trip, are you old enough to rent one?
The law abiding citizens of rvnet will lose it with this suggestion, as you're not supposed to tow with car rentals ( but you might be able to rent from an equipment rental place).
I'd find the cheapest rental, call it 3 days round trip to add an extra day for "stuff happens." Go rent ya a new truck from Budget, Avis, etc. Haul @ss in confidence to MI and back with the trailer. Park it and then consider the $500 you spent what you'll save by not buying a piece of junk on short notice from a greasy used car salesman.
Or ditch the trailer and buy one locally. Have you even seen it in person? Or are you a very trusting individual?
Get a cheap apartment, postpone the purchase, 2nd job, if necessary, whatever, but don't throw good money after bad just because you like a 60 year old blue trailer.
Just passing on lessons learned. This is meant to be constructive advice.
