BD's New Economy is a separate cabin, as such, you've got to cough up the cash yourself if you want to sit there. If you have BD Diamond Club Gold, then they have been known to be upgraded, though I don't know if that policy is in place. This doesn't seem to always apply for other *G's, and forget it as 2P.

Best bet is to see if there are any consolidators offering discounts, but it won't be the the same league as a cheapo UA ticket.