Having an invisible fence means you're going to break the leash law by allowing your dog to roam without a leash. Probaby containing your dog to the backyard would maybe work. We use to take walks around Odessa Circle where we live, but at one home they have a huge Great Dane that looks just like this photo and must weigh 200 pounds, and he stands in their front yard and watches everyone. It's very scary, even though it appears they have invisible fence, they have no signs warning anyone and usually no one is in the yard with the dog.
The Villages also has roaming cayotes, there has been many reports of small dogs being snatch by a coyote. The invisible fence may keep your dog in, but won't keep out unwanted wildlife, gators included.