If you're looking for some places to hang out near the Scottrade Center, maybe this helps. I thought I saw a couple other STL locals lurking around here, they may have other opinions, here are mine.
A:: Inside of the Scottrade on the main level is a bar named "14th & Clark," not a bad little place.
http://scottradecenter.com/content/14.html
B:: Federko's on the main floor of the nearby Sheraton Hotel is a hockey themed place. However I have never heard anyone say that it was known for their food, so don't get your hopes up in that regard - but I've never ordered off the menu so be your own judge. But hey, it's only a block or two away and with it being owned by NHL Hall of Famer Bernie Federko, you can bet it has its own flair for the Hockey nostalgia.
C:: A place that I like that's slightly farther away is Maggie O'Briens. No promises here either but it has plenty of space to accomodate plenty of people.
http://www.maggieobriens.com/
D:: Avoid North St. Louis City all together, unless you're into gangs and crack, the same could be said for East St. Louis Illinois which in my opinion is better viewed from afar, or the other side of the Mississippi. If you ask some locals they'll brag that E. STL is where the strip joints are... they're right, but personally I avoid that dump like the plague... or Herpes.
E:: The total opposite of N/E STL is Clayton, MO - St. Louis's lesser known Downtown #2. Accessible via the Metrolink Train. Upscale and Cosmopolitan if that's what your into. Not for the tight budgeting tourist, however super nice.
Here's the link to the Metrolink Train website: http://www.metrostlouis.org/MetroLink/MLtimetables.asp
F:: Outside of a severe weather event, the climate this time of year in St. Louis can be almost unbeatable, although right now they're predicting it to be a little on the cool side (highs less than 60) but maybe that's hot to you, I dunno. Either way it's almost 2 weeks away, in this part of the country and time of year, weather forecasts can, and often do change suddenly, so keep your eye out on it.
Hope that helps.