It's good that she likes to be touched. You can hug/ cuddle her as reinforcements. If she likes animals, find out her favorite and include it in everything you want her to pay attention to. Say, she likes rabbits. Show a flashcard/ toy in front of her and say "Rabbit!" Keep saying simple sentences like "Rabbit hops!" and move the flashcard/ toy as you say it. Keep a low goal first. Even if she gives a glance after one hour, it's still something. Include the Rabbit for meal times. Say "Rabbit is eating! (munch munch!)". Try putting the Rabbit on the potty and tell her what Rabbit is doing. My son loves his security pillow so much, we even dressed it up with his clothes and held a birthday party for it. It's great for imaginative playing, we laughed so much that day.
As for the hyperactivity, my son is much much calmer now after consuming products from www.evenbetternow.com. He was so agressive towards kids, but now he can tolerate children even when they brush past him in the playground. I give him bath clay, kid's chelat, DMG behavior balance, fish oil, magnesium powder and lipoceutical glutathione.
Try Baby Bumblebee Action Words Vocabulary Builder videos. They're great for kids with Autism. Also try Model Me Kids (videos for modelling social skills), www.modelmekids.com.
My son is doing ABA therapy, we've never done Speech or Occupational therapy before, so I don't know if they work. But I've seen tremendous progress with ABA in just 9 months. We focus on behavior through lessons, e.g. while teaching him vocabs, we make it really interesting so he'd pay attention, and we reinforce him once he's sitting nicely or not moving. It's like two birds in one stone.
Bring her out to the petting zoo, park, supermarket... I know it's really hard to go out and about when you need to watch her constantly. It'll be best to have another adult with you or to do it for you so you can get your sanity back.
I haven't stopped searching for possible treatments myself. And it's great to find someone who doesn't accept "there is no cure for Autism". You can contact me anytime. Take care.