You can always jumpstart the drying by using the aforementioned towel trick and then using the hair dryer to start the drying. And there is the iron as well, multiple options. And then there are always the dryers.
I would not recommend leaving clothes on the balcony, no matter how well secured they are, if wind kicks up the right way, they could get blown off or damaged by water or on the applicable night, a stray firework.