While your question implies very much a business orientation at least consider JFK-LAX-LHR in place of the JFK-LHR.

Perhaps as an excuse to visit Walt Disney's legacy in Anaheim? (And to add a few miles for future travel and status).

Alternatively JFK-SJU-MAD-MXP or JFK-MIA-BGI-LHR-MXP if Carribean climes are of greater interest in a mild diversion.......

Think creatively - especially when a jet lag day (or two) is needed somewhere. You don't mention that.........

Happy wandering

Fred