Hi Jill, We were just there (WP Franklin) at the beginning of December. The short answer to your question is yes. If you take a right turn as you exit the campground access road on to RT 78, then travel a few hundred yards, there is a trail on the left just opposite the entrance to Riverwind Cove community on the right. I've forgotten the name of the trail, but there is a small parking area there in front of the trail head. If you look on Google Maps and turn on the satellite view, you can trace your way through there. There look to be a couple of routes through the trail system. I flew a drone over part of it while we were there and it looked decent enough. This is the link to the location on Google maps so you can see what the parking area looks like. The area is definitely within walking distance to the campground, though. https://goo.gl/maps/ksbopAnXSb4tm2sA8 If you're looking for information about the campground, my wife and I did a relatively short video about our trip there which you can see here: https://www.youtube.com/watch?v=r8O5_cqxQrU

Caloosahatchee Regional Park, 19130 N River Rd, Alva, FL 33920 about 3 miles from the camp ground

We also discovered a suitably long and great dog-friendly hiking trail off Hwy 78 about eight miles from our campsite. The trail was in the Caloosahatchee Creeks Preserve (East) and was perfect for us. (Go early before too many others join you.) The Caloosahatchee Creeks Preserve (West) on the west side of I-75 was beautiful as well, but not only disgustingly loud from all the freeway traffic, the two trails were very short and in the end disappointing.