You will have a good time at Olympia Fields. I was a national member there for five years and it's a fun place. And please play both golf courses. The South is super fun and 6 South might be my favorite hole on the entire property.
Medinah 3 and Butler are both super hard.
If you can't get on one of those, give Beverly CC in Chicago (Ross) a shot. Tyler Rae finished work there last summer and I would be very surprised if it doesn't get in the Golfweek Top 100 Classic. It's really, really good and the club is great.