Here are two alternatives:
Mimosa strigillosa ( Sunshine Mimosa) will work well. It is a Florida native ground cover. Rapidly growing, 4 or 5 pots will cover 200-300 sq. feet in a growing season. It has a dense growth habit, reaching a height of only 2-3 inches. The one-inch purple powder-puff flowers occur mainly in spring, standing above the leaves. Requiring good drainage, Mimosa needs full sun or the shifting shade of tall Pine trees. It is a good choice for erosion control and can be mowed on a monthly basis during the growing season.

Perennial peanut is another choice as an ornamental groundcover, due to its high resistance to drought, nematodes and fungus, and its minimal fertilizer needs. This yellow-flowering groundcover is being used in roadway median strips in central Florida. This translates into savings in water, energy and dollars, and reduced impacts to the environment. Flowers are present nearly year-round and they are edible. 

Additional Resources 

http://edis.ifas.ufl.edu/EP343

http://edis.ifas.ufl.edu/EP135