ba has a household account making it possible to "pool" the mi's for awards....

aa has the platinum challenge which would get you double rdm quickly & status thru feb 2012, then gold for the next year.....

i guess you would get the 1st elite level on any of the 3 from the trip, but check closely....

good luck...

edit to add....what ff scheme[s] are you in/what have you earned so far this year".....ba & aa each require 4 segments for status iirc....

what flying will y'all do next year?...