I'd hang on...I'm not sure how acrylic fabric stands up to dry cleaning and there have been many horror stories about things being pressed badly at the cleaners. Most of the time this topic has come up the recommendation has been to wash them and hang to dry. When I clean my Stillwater acrylic kilts, i just wash them and then lay them out on a slatted table we have and carefully straighten everything out so that it dries nice and square.

Best

AA