You don't have to wait for the pool to get setup. You can do it in your bathtub or if you have a big enough sink. Otherwise you can put your washing machine to soak mode and just saturate it. I would try vinegar first as it won't discolor anything, gets rid of smells, and sanitizes. I would do like a cup of vinegar in the mixture wherever you put it. Let it soak for a few hours, rinse and hang to dry.
That's pretty much what I do to my wetsuit when it gets all funky. Vinegar bath, rinse, hang dry.