Hi,
I would fill the fresh water tank, then disconnect that water line, and only fill the water tank on days that are warmer than about 40F. (32 if you must, and I guess if you must fill, then at whatever temp it is).
If you could get some hot water into the fresh water tank, it would really help things out. I was able to heat my fresh water tank to about 80F using a portable propane tankless water heater. This way my hot water heater would not go cold in the first 4 minutes of a shower, but I could stay warm for a 15 minute shower once the fresh water tank was at 80F.
If you have electric hookups, you will be fine. I would recommend 3 portable heaters, each with thermostat, and hopefully with high heat and low heat settings too!
If you only have a 30 amp electric set up, then you must use care not to trip the main breaker. Each heater is about 12.5 amps. The converter will use 1-2 amps, TV and other small electric things another 2-3 amps. Refrigerator if on electric will use about 3 amps - but only run about 5 hours per day if it is 30F outside.
If you have a 50 amp service, you will be fine - except that you might trip your internal 20 amp circuit breakers if you run 2 heaters on high heat output (25 amps total). Once you tripped a CB, go around the RV and find a "Live" circuit that has not yet tripped. Then you can plug in one heater to the still live circuit, and leave the second heater on the tripped circuit. Re-set the CB, and you will know what sides of the RV are on the tripped and not tripped circuit breakers.
You still normally need to run the furnace a little bit. Say 5 minutes per hour when it is less than 28F outside, and a little more when it reaches 15F. This normally brings warm air into the basement as well as keep the floor warm, and not allow the walls to freeze.
Have fun camping!
Fred.