cave exploring
The Cueva Martin Infierno is one of Cuba's most important caves. It is closed to the public but speleologists can contact the Sociedad Espeleológica de Cuba in Havana to request a visit. The cave is on the western Cienfuegos side of the national park, west of Parque Codina. A second cave, Cueva El Maiz, is nearby.
hiking and running
Topes de Collantes has excellent hiking. However, you are required to hire a guide for some hikes. Other hikes you are required to go as part of a group, as part of a group tour, and not just show up asking to join a group. The Cuban government doesn't want tourists wandering around the countryside alone. Also, hiking is not a part of Cuban culture. Cubans like waterfalls and viewponts, but expect to drive to the scenic spot and then sit around drinking beer while their kids play in the water. The idea of walking for enjoyment is incomprehensible to them. Running long distances in the mountains is unimaginable. Don't expect to go hiking the way you would in a Canadian national park. If you want go trail running, bring a pair of running shoes to give to your guide.