It isn't all that close to Tower Hill, but Out post Farm in Hopkinton serves BBQ on either Tuesdays or Thursdays during the summer. Verrill Farms in Concord also use to sell BBQ on Thursdays during summer too, but not sure if they do anymore.
A good BBQ place a short drive away in Northborough Texas BBQ...but they are open Tuesday-Saturday
I'm not sure. I've only been there once.
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