I agree with Sean about settling and radon issues. General wisdom of the day tells us that houses will do most of their settling within the first 10 years after construction. A change in the environment can change that (drought, floods, change in drainage, etc), so if you are concerned about settling you should consult with an engineer. Radon is generally on a case-by-case basis: one house could have minimal radon, while the house next door could have a very high radon level.
Good luck with your home purchase!
We are Realtors, not Environmental Health Professionals, so any advice that you receive here would most likely not be based upon schooling pertaining to asbestos but mainly based on what past clients have done.
I wish you the best of luck with this house, and know that yes, while I'm sure asbestos is bad for you, (it's been proven) it also was used for years in construction, so I'm sure there are ways to abate the hazards.