the mesh bag idea really isnt practical as it is never going to properly dry rolled or bunched up inside it, even under a sunny dry days riding.
If there is sun in the morning, Ive just tilted the empty tent up against something (again, a plus for free standing tents) to dry the floor, and thrown the fly over a fence or whatever for it to dry out with the sun and or wind.

Ive never had to camp day after day with rain too much, but its fairly easy when taking a meal break or whatever if there is sun, to just unroll and throw both parts over something in the sun to dry out, should fairly quickly, especially if you wipe them down first to get a lot of the water off (I have an old car washing chamois in my tent bag that works great for absorbing dew etc, wring it out, wipe, wring out--by getting most of the beaded water off, tent nylon will dry fairly fast if in a dry area or with sun.
I do like getting into a dry tent, so taking the time to dry out a damp tent is worth the few minutes of unrolling and hanging, then rolling up again while I eat my lunch or have a break sometime during the day.

If the weather is wet all day, oh well, dems da breaks, not much you can do about it. I too have never had mould problems but have never had my tent stay wet for days and days and days, and especially never put away wet for a long period of time without it being put up again.