I'm assuming this was guaranteed with a credit card. It's too late now, but I would have demanded they treat it like a walk, which means they are required to find you comparable nearby lodging, pay for the first night and transportation costs. Some chains have walking policies for top tier guests. I am a diamond with both Hilton and Hyatt, and Hilton's policy is to pay $200 to a diamond if they have to walk them and it's my understanding Hyatt has a strict no walking policy for diamonds. Hopefully this never happens to you again, but if it does make sure it's treated like a walk.
I would try calling BW back and seeing if they will reimburse you for the first night at your hotel seeing you had to drive 200 miles. If they won't I would consider filing a BBB complaint and/or a complaint with the NY attorney general.