I roll my tents and put them into a stuff sack just because for some reason on a tour I am super compulsive about neatness. I also tend to leave before the sun. Ground sheets might help keep the bottom dry but do nothing for the sodden top. Usually I have the best of intentions about stopping to let it dry, particularly because I use my hammock about 50% of the time, so it will stay packed for an extra night unless I try to dry it in the evening. Its a hassle, but if the day is dry, it only takes a few minutes. If its raining, then it stays wet!

I also use non water proof panniers, but dont notice that anything really drys in them over the day. I try to mop up as much water as I can from the interior and exterior with a towel, but the last trip it was so wet all the time that my super absorbent towel was mildewing, as it never dried during the day.

Guess I just wanted to let you know that your not alone. Usually I just take my hammock and a tarp, but on trips over two weeks prefer the options of both.