You can't. When you bid on priceline, you take what you get. If you need a dog-friendly hotel, probably best to go through one of the travel services that
specializes in them.
RuthLaffer is right . . . PL's low prices are based on not being able to select your exact hotel of choice. That being said, all Kimpton properties
accept dogs, so you might want to contact its website and look for specials. Additionally, most AAA tour books state what lodgings accept pets. If
you're going to the Monterey/Carmel area, be sure to check out Doris Days' Cypress Inn, where pets are not only welcomed, but treated as royalty.