If you have or can borrow a large dehumidifier it would dry it out in a few hours. But don’t bother with the small ones, I’ve used them before and they’re a waste of time.
Otherwise you can try cat litter, I’ve been using it to stop my car misting up since my aircon stopped working.
You’d need the new cat litter crystals, I got a some from Wilko for a couple of pounds.
If the carpets are soaking wet you could put it straight on the carpet. Otherwise put it inside some old socks and stick them under the front seats, that’s where my cat litter is hiding. At a guess it’ll take a week or so to dry out but better than driving around with the windows open in this weather.