On Wed, 17 Aug 2016 22:00:45 -0400, I wrote:

I vote
for a sedum, or a variety of sedums.

Looking into the sedums, I see most are zones 4-9, and some are zones 4-10.
So they may be a problem if you are down at the bottom of Florida. Also
most are herbaceous. I see one that is evergreen. You will need to do
further research. See what the local nurseries sell.

Don. www.donwiss.com (e-mail link at home page bottom).