Hey Welcome Back!!
Great to see you.
I guess it's normal for 3 year olds to misbehave, and I would try to get her around some older kids for socialization - even if I had to pay the older kids to be 'mother's helper' a few hours a week.
I think my son's Middle School Science Text books provide great overviews of various fields. Perhaps she would like 'Biology?'
Here's a link you may like -
http://mastersinspecialeducation.net/2010/top-50-open-access-open-source-education-projects/I'm wondering about winter - can you even go outside to get in the car and get to the library, YMCA? I'd have to think that there is some place were the other kids go to hang out afterschool and run around a bit.
I guess in your situation I would consider signing up with an online school, such as K12, and letting her rip through the curriculum, along with enrichment. I wouldn't worry about sending her to school at least until age 5-6, and then I wouldn't rule out that the school might 'get' her - you'll just have to wait and see.
Another approach is to start your own 'micro-private school' so you can have kids around part of the day, and not feel so cooped up.
So glad we can be in contact over the Internet.
Best Wishes,
Grinity