Your specifications for a plant are quite restrictive and there will not be a long list of possible options. The Golden Star will grow in your area but needs a partial sun location, not full sun. I'm not sure if you site gets too much or not but this will be the main factor. Bugleweed likewise can't take much sun but also needs a very bright shade with some dappled sun or morning sun to do its best. These plants will need moderate soil moisture to thrive.
The following web site list some good groundcover options for Florida:
You might also contact your local County Extension Office for a list of plants they recommend.
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