Need An East Side Hotel In Madison, WI? Sleepinnmadison Is The Good! When you are traveling from Chicago or Milwaukee the most convenient and very best rated Hotels Madison WI on the east side is Sleep Inn and Suites(TM). It is easy to get from Chicago:We are about 2 hours from you! Once you get to I-90 go towards Rockford/Milwaukee, travel about 30 miles. Look for exit 142A/ Madison. It will be on the left. Travel on US-12 West for about 1.5 miles. Your next exit will be 266, Highway 51/Saoughton Road. Turn left on Stoughton Road. Turn left on …