Alligators and Bears.

Alligators and Bears, 2 things we will not trap, capture or remove.

Your best option for a Bear problem is the Florida Fish and Wildlife Conservation Commission.

http://myfwc.com/conservation/you-conserve/wildlife/black-bears/

Alligators  Nuisance Alligator Hotline: 866-FWC-GATOR

Persons with concerns about an alligator may call the Florida Fish and Wildlife Conservation Commission's toll-free Nuisance Alligator Hotline at 866-FWC-GATOR (866-392-4286). Generally, an alligator may be deemed a nuisance if it is at least four feet in length and the caller believes it poses a threat to people, pets or property.

source: http://myfwc.com/wildlifehabitats/managed/alligator/nuisance/