SQ stopped providing F and J seats to *A from/to north america and europe about 3 months ago even on their 744s (from LAX, JFK or FRA) hence I wouldn't waste time searching on SQ.
You can get NH J or F (or even on TG, OZ or LH) and as glen mentioned the best way to search is on ANA's online tool.
It's 100k on biz and 120k on first. You can route outbound through the pacific and return through atlantic making it a RTW trip.
cheers.