The odds of any combination of bus routes going from any random apartment in a HUGE area from 4-15 miles away from the address taking at least an hour including wait time is quite high...
That said there is SOME Pace service that runs close to that area, though I cannot tell if there a route that would go to that Dundee Rd facility and not just shuttle to a Metra station.
The map si not very clear and the online "route finder" is temporarily down
http://www.rtachicago.com/CMS400Min/...07_English.pdf