Just make sure you get to LAX in time to drink a bottle of Krug (if that's your thing) and enjoy the dining. The bordeaux is nice too. Then sleep on the flight and enjoy a leisurely breakfast in JFK with a view of the skyline across the way.
btw $559 is the "normal" "sale" price for
Saturday-only business class on this route -- see here, for example:
https://www.google.com/flights/#flt=...;sd:1;t:f;tt:o
But you have to book way in advance. Same with the $659 weekday fares, they're available but only very sporadically. Getting those and upgrading to F is the best deal running. (Apart from positioning to Kathmandu etc.)