C.M.
I would look for some structured activities over day care. Put her in a dance class or gymnastics. Kindermusic is also good. At her age many activities are mommy and me, but not all. The activities are a good way to have structured social time, but you can also see what her interests are and what she will have fun doing.
The Oklahoma City YMCA starts blast ball (tee ball) with 3 year olds. We did it last year and my son LOVED it.