Perhaps you are looking for a support group that meets on a different day, or closer to your house. Here are some groups that are welcoming to unschoolers:
Westside H.O.U.S.E. The group welcomes all types of homeschoolers to the group.
The Chicago Homeschool Coop Meet once a week for social time at various parks or at an indoor space during the winter.
Many Rivers Unschoolers is an all inclusive homeschooling group comprised of approximately 35 families in Naperville, Aurora, Joliet and surrounding communities, including Will County, DuPage County and surrounding counties in the west, far west, and southwest suburbs of Chicago, Illinois.
Grassroots Homeschoolers H.O.U.S.E. serving Chicagoland and NW Indiana area homeschoolers.