I have always stayed in the hotel lot, but the hotel will tell you the next best place if that's full
There is a parking lot a half block before the hotel when driving around the square on the same side of the street and another a little farther past the hotel on the right (opposite side from the hotel) side of the street. Those seem to be the best bets because the hotel lot has been full most of the times I have gone (and I would guess is more expensive).
The hotel has a parking garage, and the is a parking garage across from the hotel. I only go to and from the airport by hotel shuttle or taxi, so I don't know any more than that.
Thanks! Your answer is awaiting moderation.