I own a place in central florida that is brand new and has only been open three weeks but its sounds like what you are looking for. The bad news is that it will take you about an 1hr and 45 min to 2 hrs to get here from West Palm. The good news is that we have 1800 acres and about 30 miles of trails through the woods and an ATV track. The other good news is that you can come on a Friday at 3pm and stay until Sunday at 5pm for $20 for each for ages 13 and up and $10 for ages 6-12 and 5 and under are free! That includes camping! We have 150 acres to camp so if you want to be alone we have room for you to get away from everyone. This is primitive camping. We have water but not hookups for campers. Generators are allowed. Look us up on Facebook and you can see some pictures. Not many people know about us yet, so it may be nice to not have the crowd but from the response of the people over the last few weekends I dont think its going to stay that way long. They loved it! Come give us a shot! Check out our site
www.dirtyfootmudranch.com or you can call me 863-245-3676. FYI for the July 4th weekend we will be open starting Friday-Monday all for the same price! bring some friends.