Hitchins Pond July 4th Week Site Availability

My wife and I are heading up on Sunday July 2 hoping to get a site on Hitchins Pond. We know we are bumping into July 4th and that many campers may stay that previous Saturday through the 4th, taking Monday off, but some may leave Sunday night and head home.

Best guesses: what are our chances of getting a site early/late afternoon Sunday, July 2 on Hitchens?

Thanks!