I would get a professional opinion from a qualified contractor , you may have storm damage already that could possibly be covered by your insurance 

So basically I'm at risk of the tenant damaging my property and not having a way of going after her because she is not signed to the lease. 

As far as the SD, disperse it as usual...apply any damages and refund the remainder.

Any damages  a tenant must pay for, unless its an act of nature or tree roots. 

For example, California has a TDS and SPQ, basically tells the buyer exactly what is going on with the house, and the seller needs to disclose or the buyer can come after them for damages.. 

Having a detailed rehab plan and experienced team is critical.Not Screening Tenants Properly:The rental phase is crucial, and bad tenants can cause property damage or miss rent payments, disrupting your cash flow.

All 3 had no flooding or damage..but there is always risk.

You are obligated to make a good faith effort to find a replacement tenant and minimize the damages to your departing tenant.

@Kelsey Vander Meulen unless you have a great team lined up, especially someone who can address a burst pipe or damaged roof late night or on a Sunday, hire management.

The tenant has caused damage and broken the lease so she is going to vacate in December.