You might want to try Craigslist. I did a quick search for "bees" In the Jacksonville Craigslist and found several free-honey-bee-removal listing posted. Here are two:

HONEY BEES - WILL CAPTURE YOUR SWARM (Call for free bee removal)

We capture honey bees- (Call us for free be removal)
Call me for free bee removal. Call me, and I can generally get there the same day to remove bee swarms safely with no mess or bother. I c-an get bees out -of walls, trees, bushes, etc.
thanks - james 386-756-xxxx â¢Location: Call for free bee removal

and also this one:

Bee swarm or hive, moving, capture removal . Free (Jax)
I will capture and remove bees, swarming in a hive, wall, house, yard, tree, ect. wherever you have them and don't want them. I will not kill them. I will move them to where I keep my bees so they can bee with their friends.
I am a State of Florida registered bee keeper.
Thanks
Call or email me, Ben 904-322-xxxx

See link below for the first one - they may be in your area?

Carol in Jacksonville

Here is a link that might be useful: Craigslist - Free Honey Bee Removal