Yes, your assumption about CX888 is correct so long as it is a single coupon HKG-JFK.
Off the top of my head, for summer, and no idea if the schedules work...
BOS-DFW-ANC-ORD-SJU-LAX-LHR-IST-LHR-DXB-LHR-HKG-SIN-HKG-BKK-HKG-JFK-BOS
But for max miles and max CX F experience you'd be better off taking a cheap ticket on Air Asia or something for SIN-BKK-SIN and replacing the HKG-BKK-HKG with NKG-NRT-HKG (for F) or HKG-KHI/CMB-HKG for max miles, but only in J.
Hope that helps.