re: No particular destination in mind

I've sort of done it, went on a road trip for a week or so, but I had plans to stop at the Nantahala outdoor center in North Carolina. Other than those 2 nights there everything else was sort of on a whim

In general though, if you have any time or money constraints at all you should have some idea of what you're doing. Otherwise you could just end up driving to Kansas or west Texas and back