Hi Scott,
You in kind of a dilemma, you need tires that work well in sand, which is most of your area, but want tires for mud, which I would think is pretty much like gumbo. Sand is kind of like snow, you need a wide foot print-floatation. You don't want a tire that will dig you into a hole. Swampers are great tires, I ran them when all they had was TSLs. But, if you are going to have just one set of tires, you are going to have a trade off somewhere. Have you looked at the Geolander MT? how about the Pro Comp X-terrain?
DrD