My neighbor had Tower Insurance when Charley came through, and it covered her $1,200 swingset under the "outside buildings" clause, if I remember correctly. Also, if I remember right, our pools were covered if they were attached to our house (in Florida, many are in-ground pools that are basically on the back porch -- we call those lanais.)
Do you have a copy of your policy or can you see it online? It SHOULD tell you if you have "outside building" or similar coverage. Of course, should is the operative word there.
You do need to see what the deductible is. I'm assuming here, and I am not an adjuster or agent, but from past experience, this may be under wind damage, and you need to find out if you're covered for that.
I do think it will be several weeks before they get to your claim, but mostly because others are homeless. I called USAA from my cell phone just minutes after Charley's main blast was over, and it still took a while.
I think getting estimates is fine. They will only replace exactly what you have or "like quality." (I am not saying you're trying to get more than you had; I'm just using the ins. company's language.) See if you can find the same thing online and print out the price list, a copy for them and for yourself.
One of the 12 adjusters we had for our one claim (totallying $100,000+) after Charley told me this. "There are two ways for insurance companies to handle claims, and they are both totally legal. One says, 'Here's the member's policy -- find a way to pay it.' The other says, 'Here's the member's policy -- find a way to not pay it.' The adjuster has to follow the guidelines he's given, and most likely, they will be independent contractors. There are just too many people affected by Ike -- what a wild storm. (All my adjusters said they'd get USAA if they were eligible!)
I agree that everyone needs to take a deep breath and everyone be patient -- EVERYONE is stressed out at times like this, and getting angry doesn't help. Yes, I have been in your shoes on a different scale. BUT more than likely, this won't be finished even within a month.

These storms cause such widespread damage that nothing goes fast, even small claims like yours.
While it would seem logical that they might want to get as many small claims done and closed ASAP, it's just impossible. It took a full two years to complete our claim. We had $5,000 down on another house and had just put the finishing touches on ours. It was to go on the market the following week. I am not trying to discourage you but do want to let you know that everything will go at a snail's pace because the insurance people are totally overwhelmed right now. Many truly are working 12-18 hour days nonstop as well as trying to repair and fix their own personal damage. And many people call them screaming nonstop. I am NOT saying you are, OP. Please don't get me wrong. I am just trying to give perspective on the timing of repairs from my own experience.
Charley was the only claim I've ever made on homeowners. I hope I never have to do it again, although USAA was great. I'll never switch!
Best wishes to all adversely affected by Ike!
