As Glen says, the recording hardware is easy but the program listing is not. None of the commercially available tv recorders will know what stations the campground system has, what the time schedules are, etc. You have to program the recorder yourself for time and channel. No "magic" where the recorder automatically finds shows of interest, alternate viewing times, etc.
Many campground cable systems are just community antennas, i.e. the campground has a powerful central receiver and then re-broadcasts the signal via coax to each site. The campground tv receiver may be local OTA channels, a selection from a regional cable service, or a satellite subscription service. Or a mix of those. Even if the campground cable is re-broadcasting a nationally known tv service, it will probably not be using the same channel numbers to deliver them.