Since your daughter is in the austism spectrum I would definitely recommend taking her to a Pediatric Optamologist before investing any more money in visual therapy and/or progressive lenses. I used to work in Optical and have talked with many Optometrists and Opthamologists over the years regarding visual therapy. In some instances visual therapy can be very beneficial, but not always.
My youngest son sees a Pediatric Opthamologist, Dr. Miller in Tomball. My son had a form of Strabismus (lazy eye) and because of his age AND the condition visual therapy was not an appropriate option. After much research I agreed to having the operation, and he is doing very well. Dr. Miller is VERY GOOD, actually is EXCELLENT with children, and most importantly I TRUST him. He takes the time to answer questions, address concerns/worries, and is happy to point you in whatever direction you need to go to get the answers you need.
Good luck. If you would like Dr. Miller's phone number I will be happy to forward it to you.