There are many places in the Windy City to dance Salsa and Tango. You can do it almost every day of the week. Here are some links that can help you navigate the Salsa and Tango scene in Chicago.
For Salsa, I found a couple of websites that have information about salsa events. Here are the links:
Tango Mango has an extensive calendar of tango activities going on in Chicago. Click here to check their website.
Have fun dancing in Chicago!