I don't think that check in time will be an issue if you let the hotel know in advance.
I think your check out time may be an issue, some of the hotels have a 11 am checkout, so you will need to work that out with them. It would stink to get a priceline hotel only to be told there's no way they will extend the check out time for a priceline bid, so I would make a few calls first to the hotels to see what their policy is.