There is something of a trade off between how much water to carry and how often to stop to get water. I rarely treat or filter water so unless the water is a long way off and down a steep hill, I'll stop for a drink along the way.

I've given up on the so called "camp towels". "Absorbs 10X it's weight in water". Which isn't much water. I just use my bandana of which I carry at least 2 of anyway.

Shaking your tent will remove as much or more water as wiping it down with a towel will. And then you got a wet towel to carry.