Hi

I have just done a dummy run on B.A for a MFU from London to Las Vegas, but have found out that my dates are not available, i have looked at traveling to SFO (where there is availability) then on to LAS. I have looked at B.A partner airline AA, but they do not seem to fly DIRECT to LAS from SFO. Can anyone advise me which is the best airline there is for flying DIRECT out of SFO to LAS.
I would like to earn miles for my B.A account for this leg of my journey if that is at all possible.

Many thanks