First, the first of the month isn't always the full moon. And even if it were, "cloud cover" wouldn't have any effect on deer movement. They can still see....

That being said, you might as well flip a coin IMO. I have killed 4 bucks between 130 and 155 between November 8-11 and only one before that (10/31). My favorite seems to be around November 10...but you're right, you risk lockdown which seems to be worse than the October lull.

I'd probably go with the later dates but I don't think you can really go wrong.