Hey dude, welcome *
I lived in St. Louis for about a year last year and fished the parks several times. There are two decent fly shops in town ,both on Manchester, about a mile a part that could give you the latest scoop on the parks. Feather-craft and T. Hargroves. My favorite park within a couple of hours was Montauk, near Salem Missouri. You can overnight at the lodge pretty cheap, too.
For wild trout the North Fork of the White river is hard to beat. It's a little further, but the folks at the River of Life Farm are great people. Here's a couple links that helped me out when I had to get out of town. *