When I used to live in Miami, Davie was a very horse-centered area and included quite a rodeo circuit (as opposed to Ocala further north which is horse racing and thoroughbreds). A quick search shows that the Bar-B-Ranch in Davie offers riding trips – check them out at http://www.miamibeach411.com/news/index.php?/news/comments/horseback-riding/ where it says:
“With its weekly rodeos, cowpoke personality, and sprawling palm nurseries, offbeat Davie makes a quirky contrast to the urban sophistication of the surrounding area, a fading reminder of a simpler South Florida of not so long ago. And, when in Davie, there’s no better way to experience its leisurely pleasures than riding high in the saddle at the Bar-B-Ranch (3500 Peaceful Ridge Rd., (954) 424–1060). ”