Tony-
Normandie was designed by Robert Foulis. It has some really cool holes to my mind, but has had some conditioning issues over the years. I haven't played it this year, but if you can't grow grass in St. Louis this year...it should be in good shape.
Forest Park and Triple A were both originally Foulis, the remodels (really redesigns) by Hale Irwin, both located in Forest Park.
Gateway National- Keith Foster (bent fairways- an anomaly for publics in StL, most are zoysia)
Annbriar- Michael Hurdzan
John K is right, though. If you can swing it--play Glen Echo by the brothers Foulis. I've only played it once over thirty years ago, I still remember it.