Natchez is a good bet, it is actually a cross between L indica and L fauriei and can get up to 20 feet tall. Your tree looks like it has been a victim of what we call Crape Murder....whacking the top off to control size.
http://www.monrovia.com/plant-...
Acoma is another nice white, also a cross or indica and fauriei, but it rarely tops 12 ft in height and is not readily available across Fla. Its leaves are small, so think that rules it out.
http://hort.ifas.ufl.edu/datab...
Another popular white is L indica 'Alba' and it is readily available and used extensively across the South
http://www.naturehills.com/cra...
It may take a couple years of regrowth to be able to positively determine which one you have
