It's a cockroach nymph. Unfortunately it's barely visible given the angle of the photo, but it looks like the pronotum (head shield) has a pale margin - which, coupled with the pale markings at the sides of the tergites, makes me think this is a late-instar nymph of the Australian cockroach (Periplaneta australasiae). This looks very similar to the American cockroach apart from the pale markings, and is found in the southern US as well as many greenhouses. Within the US, it is most abundant in Florida and the coastal southern states. It is found primarily outdoors, where it prefers to live under tree bark, in piles of firewood and other locations that are moist and sheltered, but it can also be found indoors (source). It is the most prevalent cockroach outdoors in south Florida.
It mostly eats vegetable matter but when it enters homes it may eat holes in clothing and feed upon book covers (source).
(image copyright J L Castner; source: University of Minnesota).