Talk about built for the tourists. The boat is a replica set up purely for the tourists to visit and the guide buses to visit.
the story may be true but the boat is tacky. In fact it's capital T TACKY.
Unique Suggestions: Take a photo and move on.
The Boston Tea Party Ship (http://www.bostonteapartyship.com):
I've never gone in, but I've worked nearby there for years and can't imagine it's worth paying for. Update: Oops! They had a fire in the gift shop at this attraction (the boat is still intact) and since the only way in or out is through the gift shop (classic tourist trap), they've closed down the whole Tea Party ship until further notice!
The Cheers Bar (Bull & Finch Pub) is nothing like the TV show inside and is just a very crowded, very overpriced burger & beer kind of place, and no, they don't know your name. See http://www.cheersboston.com.