|Although I know that it's very hard to you to determine settings on your washer and dryer, most dryers do allow you to adjust the heat level, so it's quite likely that yours does, too. It's often a separate dial or button to press from the dial where you select more or less dry. I thing you're in an apartment, so I don't know how much freedom you have to mark the machine, but it's worth checking with your DH or someone else who can check for sure.
Re. covers, they air-dry very quickly. If you hang them over the shower rod, they'll probably be dry within a couple of hours. They should last much longer that way.