All that needs to be done is re-time the BD services, which wouldnt be a masive problem, that way, they could all fit at T3.
The AY service could go remote, as could the SN service, this freeing up stand 48 and 50. The AA 757 could fit on to 48, thus allowing a BD 330 on to 54 or 55. The other BD 330 could then be re-timed to arrive on to gate 49 as the BA JFK leaves. Simple!!
People really ought to get over this snobbery of remote parking. Manchester Airport has buses and steps...USE THEM FOR ANYTHING SMALLER THAN A 757!!