My insurance company tried to pull the same thing after Isabel. They wouldn't even contemplate sending out an adjuster. I called them up, told them what I did for a living and promised them that the "your insurance company sucks.com" web site would be open for business by the end of the week.
The adjuster showed up the next day.
You're smart. Actually, my husband was almost angry enough to do something like that. These people had the nerve to have a customer service person call us afterwards to see how we found their service. She got an earful and didn't know what to say.