The thing about some small towns in NH is ...
Information, news reporting they often don't think about how they speak "As of 7/1/21 all covid vaccine sites closed" - seemly meaning what it says - what they mean is state sites at schools, malls etc are closed. Click find covid
Which will bring you here:
None of your public health departments are listed - but they are ALL allegedly offering the vaccine you may have to push for it.
If you click on this