Get yourself a small hydrophilic towel, I use an MSR ultralite pack towel (sm., around 17g dry, 40g wrung out wet). Before packing my Double Rainbow away one day following a nighttime rain I measured the moderate condensation inside and adhering water outside I removed with the packtowel at over 300ml or 300g (hope that's right), with some more not recovered. Plus the tent dries much faster after being wiped down, and you'll feel like you know what you're doing, which is a good way to start the day. Don't bother wiping it down if it's still raining. It's pretty pointless and you'll feel really stupid...trust me on that.
Oh, and it's good for cleaning yourself up, which you'll need to do if you, say, take that shortcut from Kappa Moraine to the McKay Track. You know, the one where you bushwack across the burnt Arthur Plains.