Hurricane/Tropical Storm Floyd did the coastal route in 1999, and for most of NH it wasn't anything special, but around the northwest end of the lake there was local topographic enhancement of the northeast wind that led to the felling of hundreds of trees.
I drove up to the lake from Portsmouth, where a "run of the mill nor'easter" was happening, and I found increasing amounts of tree debris on the road as I got west of Gilford. Through Meredith I was regularly driving around large tree limbs in the road. Ultimately I couldn't get into the house because there was a tree and wires across the road. A firefighter on scene told me they wouldn't be able to clear it until the next day because of all the others just like it. I had to spend the night elsewhere.
Every tropical system is different, so there is no guarantee that Hanna will live up to any previous storm, but we should also remember that every tropical system--even a remnant low--is capable of its own brand of destruction.