UA has a fare of $98.00 RT (7 day advance purchase required) from WAS to FLL, which allows routing through ORD. DCA-ORD-FLL-ORD-DCA earns 3588 EQM for under $130.00 all inc.
If you want to qualify for the RTW promo, there is a no advance purchase fare of $118.00 (comes to $ 147.91 all in) for the same routing. This just barely qualifies, as the base fare is $101.40.