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Hello (this is my first post ever),
I would first like to start off saying that I too have aspergers as well as sensory processing disorder. I have always struggled with getting a full nights sleep and have recently found that meditation can help me help me to settle my mind when I'm finding it extremely hard. However I feel though you may find it difficult to teach your daughter considering her age (I would have found that level of concentration impossible at her age). Recently I have been finding it especially hard to sleep and was on the verge of going on medication for it but my occupational therapist recommended that I get a weighted blanket to help with it and honestly it worked like you wouldn't believe. They can be a little on the pricey side so I opted to make my own ( and it turned out very well considering my lack of sewing skills).
Honestly if you don't believe me just Google it these things work wonders for in this sort of situation.
I know not exactly what you were looking for but I thought I'd share my experience considering the similarities.
Hope this helps