The expert who gave us a learning session at our Health and Safety committee meeting before the cleanup told us that for the most part, asbestos is only dangerous when disturbed as it's rate of just 'breaking down' and going airborne is extremely slow. Normally when undisturbed, asbestos in a a wall or something is often safer just left there than removed.
That being said, the asbestos insulation on the pipes in the basement was much like your situation. It was exposed, breaking open and chunks could flop around. It's very brittle so this can create airborne particles. In fact, I can't offer an opinion on your basement but I'd feel more comfortable having an expert look at it, if you haven't already.
So no, I'd love to visit New Hampshire again but I'll be putting up a tent in your backyard.
