Hi there,
I'm living in an appartment building and we have clothlines in the attic below the roof - in summer denim jeans are dry over night (in winter the same pair takes about a week though...)
In winter, run a line across your kitchen, as near to the stove or a heat register as you can get. You'll be amazed how fast things dry.
Conversely, if you don't like that stiffness, a quarter of a cup of white vinegar in the rinse water will eliminate it.
Some people who start hanging things out to dry for the first time complain about how the towels are rough when they're dry. They will be to some extent and I have no suggestions.