For wetness (only), I will hang them up in the closet to dry if they don't seem to smell (especially the first day) and not severely wet. If I feel they got very wet or have become smelly, I toss them into my laundry hamper to dry and to be washed later. I'll usually wait until I have 2+ to be washed before I wash them in the bathroom sink.
I find that they do get smelly over time if you only use water (or hand soap). So what works well is to use a little bit of cleaning vinegar (cheap). You don't need much. Just put a small amount in the sink, add a small squirt of hand soap and fill up the sink and soak. Then rinse a few times. The vinegar neutralizes the ammonia smell while the antibacterial soap takes care of the rest. The hand soap does not harm the PVC because it does not have grease and oil removers in it, that would affect the plasticizers in PVC.