I think both Vie and North Pond are great ideas. I think North Pond is particularly suitable for a special occasion, thanks to its exquisite location in the middle of Lincoln Park, facing its namesake pond with the city skyline looming over the opposite shore. And, of course, the food from award-nominated Chef Bruce Sherman is excellent, too. It's just an all-around special place in our city.
Another special place, in large part due to its location, is Everest. As you probably know, Everest is at the top (40th floor) of the Midwest Stock Exchange building, so the view out the window, with the entire city spread out below, is thrilling. And there too, the food, from Chef Jean Joho, is wonderful (among the best meals I've had), as is the exquisite service (best I've ever seen in a restaurant, bar none). It's not quite as experimental/leading-edge as Alinea and Trotter's (I'm guessing that's the aspect you think he would object to at the other two...?). It's more formal than Vie and North Pond (unlike those two, jackets are required for gentlemen) and it's a bit more expensive (unless you go for their pre-theater special, 3 courses for $50 at 5:00/5:30 every night they're open except Fridays).
Vie is very good as well, of course.
One other possibility, since you're in the northwest suburbs - have you considered Le Titi de Paris? It's still excellent, and it's out in your direction.
I think any of these would be an excellent place and appropriate for the occasion!