Best OW programme?
 

Need advise! So I have the following memberships with OW Carrier -
BA Blue
AY Ruby
AB Sapphire (exp Nov 2017)

I am travelling AMS-LHR-CPT-DUR-CPT-LHR-AMS all in business (I) class.
Between end of Nov and early Dec.
Which is the best Frequent Flyer programme to which credit the miles? I am a seasoned traveller but find the whole thing a bit baffling! I was going to have a go at the AA challenge, but think USD1000 is a bit steep just to get lounge access!
Many thanks from a novice!

Well AB is going belly-up so I wouldn't put the miles there...

Where are you pulling the $1000 for the AA challenge? I think it costs $200 for the Plat challenge but the EQD requirement is $2000 which you may well get from that one trip above depending on how much it cost. More details on AA challenge from TPG:

https://thepointsguy.com/2017/01/aa-...tch-challenge/