In Naperville, well, really Lisle, there is a daycare called Children's Creative Corner. It's on Chicago just east of Naper by the Green Trails resturant. My best friend teaches the 4 yr old room and I used to work there. I know that they are GREAT at handling children like your daughter (advanced children) because I know their techniques. So, you might check them out.
Montessori would also be a great fit for her, as they teach all kids in multiage rooms so she would be allowed to learn what a 6 yr old is learning and be moved on to more complex stuff when SHE is ready not with the group. There used to only be one school on Rt. 59 in Warrenville, but I bet there are more now.
The other option is to look into home daycares that teach preschool. She would be in the same group as older preschoolers and therefore the skills could be matched to her level instead of to her age.
Since she is 3 you can have her tested by the school district for Aspergers. But personally I don't think she has it. I think she is just smart and being a 3 yr old. If she is sensitive to certain textures, that is normal too, just deal with those by alterering things as you must.
I don't think labeling her as Aspergers or anything like that is going to serve her in any way though. She is first a KID. Plain and simple. I personally think that Aspergers is over used as a catch all for smart kids.
I would look into the montessori first, then into the daycare I listed or a home daycare next, then look into further testing last. From what you wrote it just seems like a kid who happens to really be smart, not a kid who has issues with Aspergers or anything like that.
N.