@Mike Bargetto That seems really high for flood insurance. I'm in an AE zone in WA (personal residence) and pay around $1,700/yr on a $350K+ home.
It sounds like you haven't flooded since you bought the house, is that right? If so, you are super lucky! because the past 3 years have been pretty bad in certain areas of West Ashley.
If you haven't flooded you can raise your deductibles or eliminate contents coverage entirely... someone can correct me if I'm wrong, but I don't think contents coverage is a requirement by lenders. Just from my own experience... I flooded in Irma and I didn't meet the contents deductible (which was $5,000)... And, if the home doesnt have ductwork in the crawlspace (unfortunately mine does) theres less of a need to have a lower building deductible in my opinion... also think it's smart idea to get HVAC raised up.
Like John said, flood zones definitely aren't an indicator of whether a property will flood. On my street (AE zone), 2-3 houses flood regularly during storms while others have not been impacted whatsoever, yet all are required to buy flood insurance.