Hello all,
It's my first time posting, but I've lurked over the years. so hope I'm in the right place.

I'm going to be flying JFK to LHR. Have more AA ff miles than my other memberships.
But, I loathe the idea of flying AA there and BA won't give me the miles.

I've got memberships on Delta, United, and Continental, though again...all lower mileage points than AA.

Obviously want to make the best choice. Any advice?

Thanks much.