Sorry you have not drawn more comments on this, I do have a couple of more thoughts.
I really can't think of any reason for a direct water connection to the waste tanks other than the possibility of a rinse connection having been added to the tank(s). An open or faulty valve on city water pressure could certainly create the problem you are describing. There is also valving for draining the water system and adding anti freeze to the system, but I doubt the waste tanks are involved, I don't live in a freeze area so I have never messed with it. Your next trip out you may want to try using just the fresh water tank and pump, getting the city water out of the equation.
One other thought would be just plain water usage, we "semi boon-dock" for 2 weeks every summer in Indiana and the grey water was a constant problem until the Mrs. finally got into water conservative showers, and we used more paper plates and common sense. It is amazing how fast the grey water can fill-up.
Link to owners manual
http://fleetwoodrv.com/partsandservi...PACE_ARROW.pdf