The ones I know of in the area are in Tampa.
GENGIZ KHAN RESTAURANT
Tuesday-Saturday 11 a.m.-10 p.m.
Sunday 3 p.m.-10 p.m.
6102 S. MacDill Ave. Tampa, FL
is the same owner/menu as Shish Kebab and Turkish Cuisine in Town and Country which is the location I went to.
10061 West Hillsborough Avenue, TAMPA - (813) 443-5118
There's also one or two places in Ft. Lauderdale/Miami but I don't know if you'd want to travel that far.
It's not necessarily Turkish I don't think but there's this place called Tangerine on Kennedy close to downtown (right across from U Tampa) that isn't too bad.