What I would suggest is two things. One if you find a property you like visit this website and type in the zip code. It will give you all the data for the area. http://www.city-data.com/. You can also look up the address on this site as well http://offender.fdle.state.fl.us/offender/homepage.do;jsessi
Second I also suggest putting the address into google earth. You can get right down to the street level and get a feel for the neighborhood, what is around it etc. Then armed with the information you can make an personal educated decision. If you are local I would suggest driving the area either during the and also at night to get a feel as well.
I hope this helps. If you need anything else or have other questions feel free to call me, happy to help. My information is below.
The Gentile Group, LLC
28059 US Highway 19 North, Suite 302
Clearwater, Fl 33761
type in the address of interest and see crime reports in the surrounding area.
Brock Realty Inc.
Broker, Lightning Realty
Innovation and Experience
Fax (813) 443-0118
This is a good place to start: http://www.nsopw.gov/
This will give you a real good idea of the area you are looking at. It is an individual decision and as the renter it is your job to do your due diligence.
Best of Luck!