So, I might obtain a bike after trading in the Burgman 400, and to be honest, two bikes are within the sub 4K range.
First off, is a Honda 919 Hornet. 2006, 919(?)cc from the CBR900 Fireblade, done 28,000 miles and appears pristine (save for the Givi windshield and a flimsy speed radar mount.) Dealer is asking $3,150 with tax, licensing and trade out the door (provided the Burg is in good condition.)
Second up is a 2006 Suzuki Vstrom DL1000 that's done 67K miles, comes with Givi pannier cases and also appears to be pristine. Asking $3,699 (Trade, tax and licensing unknown.)