I'm guessing this is a cable modem. If not then more info would be nice ...
Cable modems are pretty much locked into a specific service provider ( maybe Comcast ) and a location ( = your home ). Change either one and they aren't going to work without a lot of craziness. Unless you spend a lot of time at a single location, using one in the AS will be difficult.
If your router is a separate box ( and not part of a cable gateway ) it might be usable. A lot depends on just what it is. To me 12V
power is a "must have" for something like this in an RV.
More questions than answers .... sorry about that !!