What would you do?

I've planned an UC trip to LA via JFK in May. Outward isn't a problem but return looks more challenging.
Get kicked out of my hotel room in LA at midday and then 12 hours to wait for a Virgin America flight to JFK arriving 8 am. Then, more than 12 hours to wait for VS flight back to LHR. I was planning on visiting NYC during the layover but would prefer to shower and bag drop before doing so.
Problem is, I won't be able to use the VA CH showers because I would have to go through security. Any ideas where I can grab a decent shower at JFK so that I don't subject Manhattan to my Pepe Le Pew aroma? Or should I just wait till I get back to JFK in the early evening and ask for the full sandblast?
L
Get kicked out of my hotel room in LA at midday and then 12 hours to wait for a Virgin America flight to JFK arriving 8 am. Then, more than 12 hours to wait for VS flight back to LHR. I was planning on visiting NYC during the layover but would prefer to shower and bag drop before doing so.
Problem is, I won't be able to use the VA CH showers because I would have to go through security. Any ideas where I can grab a decent shower at JFK so that I don't subject Manhattan to my Pepe Le Pew aroma? Or should I just wait till I get back to JFK in the early evening and ask for the full sandblast?
L