Sci, you're probably the best board to ask: How do I dry my clothes in an apartment?

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I put a load of laundry in the washer. Then I went to put more money on my laundry card, except the machine is down. So I have no way of using the dryer because I live in a shitty ghetto apartment complex.
Aside from driving to a laundromat and waiting there for an hour, how can I dry them? The socks and boxers can probably just air dry. The undershirts are fine being wrinkly because they're just undershirts.
So I have like 7 button-up dress shirts that I need to dry without wrinkles. If I just hang them up and let them air-dry will they end up wrinkly? I do have a shammee similar to those ShamWow things, would rolling the shirts up in those actually work like the commercial said? What about using a hair dryer?
Or do I actually need to waste my time at a laundromat?