May 17-18th look to be the best because the next two are the weekends before/after Memorial day.

On the pets issues this is what their site says

1. bring into or possess within a state park a pet or other domesticated animal, unless the animal is secured by a leash not exceeding six feet in length, or confined in a vehicle, or to permit an animal to enter into or remain in a unit of the state park unless so secured;

I agree with Roger, the more the merrier.

Roger no tent camping??? wimp!!