Well, that's absurd about the dripping faucet; not a single faucet on our RV drips at all when the water is turned off. I must say, that dealership sounds like the problem... have you contacted Winnebago Customer Support at all?
Not that it matters to you, but I think you will hear the exact same stories with every single RV manufacturer nowadays. They can barely keep up with demand so they have units rolling off the assembly with all types of problems.
It's necessary to have mechanical ability and just take care of many things yourself instead of the never-ending aggravation of dealing with an uncaring service department. Good luck to you and I hope everything gets fixed to your satisfaction.