There is Marytown in Libertyville. They have perpetual adoration and a great giftshop.
There is the Shrine for St. Therese of Liseaux in Darien Illinois~ another beautiful place.
There are hiking/biking trails near you or further north or south a ways. There's bowling, bird watching. There are Shrines all over to visit. Depending on the locale of where you want to meet up.