In the rural locations of parks, and particularly the remote locations used for boon docking, low-latency Internet connections of any type are unlikely. In most of these places there is nothing that resembles broadband, and for many places, no mobile data connection at all, unless you stay quite close to urban areas or the routes of major highway systems.
Mobile satellite links to the Internet are possible, and while speeds do not approach the new FCC definition of "broadband" they are much better than dial up, comparable to some of the mobile data services. However you will have latency problems for most types of gaming. About 600 milliseconds is typical now for the fastest satellite technologies. It is not just space on the repeaters and traffic, you are fighting the speed of light and the height of geostationary orbits.
I suggest you look at HughesNet for mobile (but not in-motion) satellite Internet. Equipment for the most up to date services runs $2000 to $4000, and service starts at about $50 a month, prices rise with speed and volume.