And don't forget the 100% bonus miles on the flight that completes the challenge.
Also note that he is nowhere near his 20 segment limit, so could potentially score a few more qpoints early on with some Europe sectors. Even a LHR-HEL-LHR round trip will score another 575 qpoints before he hits the USA.
He has used all 6 North America sectors so maybe look for some more AA codeshares in Europe, but I think they are few and far between.