If don't mind having a one way ticket to CAI, you can get thereusing a Oneworld Award ticket for 80K miles in J and 100K in F. I am doing this in February and am routing JFK-DUB-LHR on Aer Lingus and LHR-CAI on BA. I played around with a first class routing of JFK-MAD on IB and MAD-LHR-CAI on BA.
I will probably get a cheap ticket ex-CAI for my return, but that is a little less than a year from now, so I'll cross that bridge at the right time.