There's a "nothing fancy" Boat
Repair yard in Houma, Louisiana with a Travel lift
that can Haul / Store your Boat and also look after it for you.
Your Draft and Length are not an issue, nor is your Mast
Height as you won't be going under any Bridges to get there, it's a straight forward run up the Houma Navigational Canal
and once you reach Houma hang a right and your there......easy peasy.
Remember, anywhere in the southern USA your going to be prone to any storms that may come through, however, the Yard won't flood...well I haven't seen it flood over the past 6 or 7 hurricanes...Wind Damage is what you need to secure against.
Monthly rates are really cheap
...but, you'd have to talk to them yourself.
If this is of interest PM me and I'll get you the info.