Nope, won't work. The East would be stupid to agree to that. You have nothing to offer. The ONLY way I would agree to another arbitration would be with 3 or more arbitrators on the panel, clean slates (i.e. no Nic, can't even be presented, in order to preclude any misunderstanding about it's relevance), and clear guidance including preference for LOS or DOH as part of the formula, just like ALPA has done.
Anything less would be an abdication of principles for USAPA. You guys could have had some of your windfall years ago, but elected not to, even firing your lawyer that recommended you do so. Pretty stupid, wasn't it?