Lots of ideas but based on my experience as long as it's raining/wet/muddy you're not going to have dry boots. And if by some miracle you get them dry overnight they'll be soggy again as soon you start in the morning so what's the point. Putting on wet boots in the morning isn't any worse than putting on a wet shirt in the morning.
On the other hand, when it quits raining/drys out then boots dry on their own and stay dry until it rains again.