I'm going to give you a link to an organization that transports animals (dogs, livestock, and small animals). I used to live in Webster Florida and if memory serves me correctly (I could be wrong), this organization has a fabulous reputation for helping transport animals, especially during a crisis (hurricanes when animals need to be evacuated). When I lived there I heard the highest praise about this organization. I'm just not sure if I've found the correct one for you or not.
I hate to say it but Florida does have more animals in need of homes and this organization may be a good connection for you. Here is a link to their facebook page. https://www.facebook.com/djpettransport/
I wish you all the best with this.
#TransfersandTransport