I have a social group that I go to and we have done outings like restaurants(Like Cici's Pizza or Hong Kong Buffet)
they went to a place called TMZ(Never been, didn't go) we have plans of going to the mall at some point so there is that. I'm pretty sure any place would be fine as long as everyone is cool with it. You could suggest places that you go to and enjoy and be like a tour guide! 
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Autism is a disorder not a personality trait!
"God grant me the serenity to accept the things I cannot change,
Courage to change the things I can,
and Wisdom to know the difference."