A commonly used converter is the Parallax/Magnetek 6000 and 7000 series. They put out a steady 13.8v. That provides a not very fast charge and then when the battery is fully charged is too much voltage and tends to boil the water in the battery. The solution is to check the water level on a regular basis, say every week or 2 until you find out how long it takes to need distilled water.
Many Motorhomes have a battery disconnect switch, mine is located by the door as you come in. You can disconnect the battery, but don't let it get too discharged. With the battery disconnected you can still have 120v power in the coach. My battery disconnect switch does not remove all the loads on the battery so the battery may still get discharged.
You could also turn the circuit breaker for the converter off but I would also disconnect the battery negative lead to disconnect all loads on it.
I personally turn the CB for the converter off and leave a Battery Minder Plus connected to the coach battery during the winter. This guarantees that the battery will stay in good shape. I use a trickle charger on the chassis battery.