There are some private, but it's complicated to find good ones. And down the road total cost will be the same or very close. If you go to Laval you have some good place at lower entry fee (40$) where you will get a very good service. Advice, go when it's not busy (call and ask them when), then if you ask you may end up having the jacuzzi room at the lowest entry price, bonus!
Cheers,