NH operates The Room 77W on select days flying HND-ORD-NRT rotation. If you book months ahead, which is what I do sometimes, you won't know which flight on which days will have The Room, so there's a bit of chance to getting it. My other alternative is to force a JFK-HND segment, but that depends on availability and having to make a trek out to JFK. In any case, my preference is to fly NH to get the PQP but UA does have some more appealing flight times, such as HND-EWR.