Is your aim in increasing miles in order to earn more EQP or EQM on AA or some other FF program? If so, then you might tinker with the TATL portion in order to use an AA codeshare on BA to DXB or MCT (farther) in order to obtain more bonus miles than if on BA flight nos. only.

Otherwise, you could substitute MCT for DXB or IST for HEL for maybe another thousand BIS miles.

If AA is selling the ticket and you're EXP, don't overlook the chance to use an eVIP and bump up to FC for a longhaul flight, e.g. LAX-LHR.