If it was my week I would pick the June week with the full moon - Monday June 24th this year. The highest tide of the month at Boston is Wednesday 26th. Generally, big tides = good fishing but there is so much variety in the Chatham Area and Juro & co. know this area like the back of their hand and may advise otherwise.
To be fair, I made about 10 trips up there last year from May thru August and had great fishing on every trip.
The Dolphin in Chatham is reasonably priced and it not too far to walk to the lighthouse to avoid the parking hassles.
When sight fishing, look over your shoulder from time to time, you never know who's behind you