Right at Freezing temps

If you are going to be in the rig, and have heat on, don't worry about it at those temps.

I won't be in the rig...it'll be in storage. I'm hoping that I don't have to winterize twice since we're taking it out Thanksgiving. If I have to, I'll pull it out of storage and plug it in, turn on the heat.

just open the faucets you will be fine

So open all the faucets all the way around, hot and cold?

There are no 100% guarantees. However it generally takes a hard freeze to cause damage. If it drops below 32º for just a few hours during the overnight you should be fine.
Drain water heater and drain system. You should be fine.
I assume you do not have electric available at your storage site.

I would drain the tanks, and open taps and low point drains plus drain HW tank. Unless it stays sub zero for the better part of a day and night whats left in lines/tanks will be just fine. Lets hope that forecast is accurate....because a few more degrees drop could make a critical difference

You'll be ok. However, if you're going to worry about it, then drain stuff. Pipes are the most vulnerable. Not tanks.

Can you run your gas furnace on battery at all?

2oldman is correct, I have been into the mid twenties and have not had a problem. Your rv is a huge heat sink and it would take more than a dip into the high twenties or low thirties to freeze things up, but if you are worried then go ahead and drain things. I would not worry if it were mine.

So I have good news and bad. Bad news is that my slide just broke on me. Good news is that my slide broke; which is covered under warranty since I've only had it a few weeks. Now I'll take it to the dealer tomorrow for the repair; which of course they'll have it for a couple of weeks; and ask that they put it in the service bay for the cold weekend. I know the dealer, so that will not be a problem.

Well good!