Blatella asahinai (germanica?) (Asian Cockroach).
Size: approx. 20 mm. Photo: 07/23/11, 7 pm.

German and Asian Cockroaches are difficult to distinguish and can hybridize. However they differ in behavior. Nymphs (small photo) of the Asian species live in ground cover etc.; adults readily fly and are most active at the beginning of sunset. In the US, B. asahinai was first reported in 1986 but has become common in Florida. 

bug guide:
bug guide (small photo):
G. Mullen et al. Med. Vet. Entomol., pp. 47: