- transfer Chase points to United and do a partner redemption, or
- transfer Amex points to ANA and redeem with them or
- something a bit more obscure...
Apparently people are using United.com to check individual dates for ANA availability and then calling Virgin to book (they don't have online partner reward booking yet on Virgin's site). Again, I've never done this myself (this person has), but it sounds like a great option despite their recent devaluation and new peak dates policy.
So I created a new Flying Club account, searched United for Saver First Class availability on ANA and called Virgin's main US number. I had a live person on the phone with about a 5 minute wait and he was able to confirm the availability and price: 120,000 Virgin miles + US$85 for a round-trip flight in First! (United charges 220,000 points + $11 for that same ANA flight!). The agent offered to put the flight on hold for 72 hours until my points could be transferred in.
Sadly, though, a family emergency arose and the dates I'd chosen didn't work any longer, but I wanted to mention it since it's such a great deal compared to booking that very same flight with United.
Once I get new dates for the trip I'll definitely keep this option in mind!