Many rebid zones in this area if you stick at 3.5* or above.
Bid $55, $60, $66; all failed. Success with $70. Won the Crowne Plaza Princeton. It showed (on Priceline) as having rooms for $109.
The Crowne Plaza is decidedly a step down from the DoubleTree, which (less frequently) has rooms with Priceline. When I bid, 'rack rate' rooms at the DoubleTree were $159 a night; I won the DoubleTree last week (1st week of Jan, a slow week perhaps) at $55 for a night, but the rack rate then was showing as $139. So the DoubleTree rack rate, as well as the Crowne Plaza rate, might give you a clue on what you are going to win.
I also did this bid at 8:30am this week, vs much earlier in the morning (same day) the previous week, so it may be that the DoubleTree only has a few rooms.