Not sure about this, but I thought the police or sheriff dept. closed roads into a low lying seashore area, such as a barrier island, etc...  Sometimes evacuations are ordered, if the storm is a bad one.  I don't think you have a choice then but to evacuate.
A cat 2 hurricane is pretty bad, but not as bad as a 3 or 4.  I'd guess and say it's risky to stay, but probably not suicidal.  May not have access to anything for three or four weeks, though, depending where it is.  CAT 2 is not a catastrophic hurricane.
Though take all normal precautions, if you stay there, it is possible your house could be destroyed. I would definitely have some life jackets on hand.
Not quite in the stupid catagory on this one...I hope.  I know of folks who stayed on Daupin Island during Hurricane Frederick in '79.  CAT 4 hurricane....the eye was a direct hit and passed over the island.  They came out ok, no one was killed...it's amazing.
Les