Edison Park is a neighborhood within the city of Chicago and would be just as scary to suburbanites afraid of the city as any other Chicago neighborhood. It is also about 17 miles from Schaumburg.
While there is very good ethnic food, particularly Asian and Indian, in the northwest suburbs, somehow I imagine that will not do in this instance. (If I'm wrong, foodgirl, please let us know, and I'll post some other suggestions.)
Fitting the "casually elegant" requirement:
Pappadeux is big and often noisy, but if you order simple dishes, the seafood can be quite good. (Alas, they no longer offer all-you-can-eat lobster -- there's some other lobster deal now.) I haven't been there in some years, but Dover Straits used to be very good for seafood as well.
Weber Grill has a Schaumburg location, with good steaks, grilled over charcoal, as well as other char-grilled options (avoid the fall-off-the-bone ribs). Morton's is more upscale with prime steaks at a higher price point. Magnum's is another good steakhouse.
There's also a Cheesecake Factory in Schaumburg.
I concur with
Yanni's as a Greek destination, if that's not too exotic.
Some other northwest suburban threads:
http://www.lthforum.com/bb/viewtopic.php?t=4471
http://lthforum.com/bb/viewtopic.php?p=24848
http://lthforum.com/bb/viewtopic.php?t=5646
http://lthforum.com/bb/viewtopic.php?t=4945
If you want to reconsider the O'Hare area, search on "Rosemont." But you're right, it's mostly obnoxious.
Pappadeaux Seafood Kitchen
847/228-9551
www.pappadeaux.com
798 W. Algonquin Road, Arlington Heights
Dover Straits
847/884-3900
www.doverstraits.com
1149 W. Golf Road, Hoffman Estates
Weber Grill Restaurant
847/413-0800
www.webergrillrestaurant.com
1010 N. Meacham Road, Schaumburg
Morton's of Chicago
847/413-8771
www.mortons.com
1470 McConnor Parkway, Schaumburg
Magnum's Prime Steakhouse
847/952-8555
www.magnumsprimesteakhouse.com
1701 W. Golf Road, Rolling Meadows
Cheesecake Factory
847/619-1090
www.cheesecakefactory.com
Woodfield Mall, 53 Woodfield Road, Schaumburg
Yanni's Greek Restaurant
847/952-1111
www.yannis-restaurant.com
10 E. Algonquin Road, Arlington Heights