I found a CX JFK-HKG-PER option that is a +1, but it leaves JFK at 10:00 am, with only 50 minutes to connect in HKG. So it would end up being a tight connection at both JFK and HKG.
I think the only possible option to go eastbound would be QF10 which is LHR-PER, a +1 that leaves LHR at 12:10 pm. If you could get a late red eye to LHR then maybe I could leave ORD around 10 pm and make this flight.