I am trying to plan the best/cheapest way to do LAX-ICN-PVG-Europe hub-East coast US. Ideally the Europe hub city would be close to BCN and the final destination is RDU on the east coast. I know the final destination will be especially difficult so don't mind flying in somewhere on the east coast and getting a seperate ticket.

I figured the Singapore RTW would be perfect, until I found out it only had a 3 month window. The first portion of LAX-ICN-PVG would be in late August and early September. The PVG and beyond would be starting in mid/late December.

I'm open to paid or reward travel, although I'm guessing reward travel with a RTW in coach is probably not the best use of miles. I have ~280k delta miles, ~50k UA miles, ~160k UR points, ~30k MR points with gold status on delta and UA.