I've already stated that I'm a fan of Rudy's. But....
If the Wizards really do have Beal in the mix for trade talks (which I doubt), then I'd try to get in on that little party. I'd imagine they'd have to give up a stud like him for Gay to balance out the fact that they have little in terms of cap relief to offer - which is why I feel Memphis wouldn't take the deal, anyway.
MEM: JJ + Harkless
WAS: Gay + TPE + Harrington
ORL: Beal + Nene + Ariza
This will depend on how highly you regard Beal. He's had a very, very rough start so far, but I think he's still loaded with potential - and a well structured organisation and good veterans could really bring the best out of him. Nene's 4 year contract is a killer, but he is still a decent player, and he could very well remain as filler for a s&t. Ariza is a fill in SF for this season and next season, until we start gearing towards cap space for 2014, to build around a core of Vuc + Drew + Beal + our 2013/14 draft picks.
Washington get out of Nene's contract, and have $13M to spend on FA's this summer, to go along with their core of Wall + Gay. you add Al Jefferson/Millsap to that mix, and they'd at least be able to start winning games again, and that would make Washington happy.
Memphis get cap relief, a quality SG, and a SF prospect to groom in Gay's absence.
C - T. Duncan/ A. Drummond/K. Thomas
PF - JJ. Hickson/A. Randolph/ B. Wallace
SF - G. Wallace/ J. Salmons/Q. Pondexter
SG - J. Harden/A. Burks/S. Livingston
PG - J. Lin/ J. Fredette/ M. Bibby
Head Coach: Flip Saunders