You're probably better off transferring to SQ Krisflyer. According to their partner award chart, NYC (North america) to TYO (North Asia 2) should be possible and would be 100K miles per person each way in F. The 200K shown on the chart is for roundtrip.
https://www.singaporeair.com/pdf/pps..._RoundTrip.pdf
Now your only issue will be finding 2 O class seats on the same flights, I might be wrong but Tokyo might be a hard market for partner F award availability,