One more thought - Airstreams are cool, but expensive. Since you're travelling solo, you might want to consider something like a Casita. Your budget would get you an almost new 17-footer, and you could tow it with a mid-sized SUV. (I admit - I'd do your solo trip with a used Honda Ridgeline and a used Airstream Safari 20', but that combo is about $50k.)
A useful blog for full-timing with a small trailer is Technomadia - they full-timed in a TAB teardrop (which is borderline crazy) and a small Oliver trailer
(but recently sold it for a vintage bus.) There's lots of good info on that site.