Warblade requires swift + standard or swift + melee attack.

Either way, you need a swift you don't have if you used WRT.

Aside from the fact that, NO, a warblade can't use a maneuver the round he recovers. Is there some ambiguity about whether immediate actions/AoOs out of turn count as part of the previous or upcoming turn? Sure!
Is there any ambiguity whether the stuff you do during your turn count as part of that round or not? HELL NO!

Your case fails by RAW at every possible juncture.