If there is asbestos in there, you probably should call a professional asbestos removal company because your measures may not be enough to stop the asbestos from getting into the air and into your lungs and into the rest of your house (through ducts etc).
Also, I don't know how long ago you bought your house, but have you considered suing your inspector for not noticing that a load bearing wall had been removed...this should have been obvious to him/her. Don't feel bad suing him/her because the company probably has very good insurance that can save you a lot of grief!