$33 for a few hours seems like a rip off to me. My school is across the street from lincoln center and they recomend either
Regent Garage
$10 / 12 hours
validate at Security Desk
Entrance on West 61 Street
between Columbus/Bway
(212) 245-9594
That's with Fordham Validation or ID but I think they would still be cheaper then $33 for 4-5 hours that you are looking at.