Has anyone stayed at any of the hotels at JFK and parked there prior to a long trip???

My husband and I are coming from CT (the day before our flight) and meeting up with my sister & her boyfriend to head to Aruba out of JFK in January 2nd . Last time we got up super early and drove out to park in long term parking...but this year we are looking to stay at the airport so we don't have to get up and out so darn early in the January cold!

Any suggestions are appreciated. We don't want to spend a fortune, but want to stay somewhere safe and comfortable especially since we'll be leaving the car there for a week.