I'm running out of clean clothes

So it is about 28 here, has been for probably a week. There is snow on the ground, and the sun went on vacation to somewhere like Spain. So what does this have to do with clothes? I have to dry my clothes outside on a drying rack. Think about how fast your jeans will dry when they are wet and sitting outside when its 28. I have come up with somewhat of a solution. I have 3 old style heating units in my apartment - one for each room. I've set up my clothes on chairs or a drying rack in front of the heating units (which don't really do anything but radiate heat) and rotate them occasionally. I haven't figured out if they dry faster than mold grows yet, but we'll know soon enough.