The Coronado / Lindell is directly across the street from the School of Law, but when I was visiting, I was expressly warned by law students to avoid living there. While they had a long list of complaints as to why it was a bad choice, the foremost was that it's not a law school building, meaning that you have students from all other disciplines who are not going to be sympathetic to the need for quiet, etc. Another big complaint was that the building was run down and that the management took their time to repair things. One couple I spoke to told me about how they spent their Christmas break with no heat.
The good news is that St. Louis has any number of options in the outlying areas. University City is a great bet, as is Soulard. Clayton can be a bit on the expensive side, but there are great deals for some amazing apartments and houses in the area if you keep your eyes peeled. I am in the process of closing on a house in the Webster Groves area, which is no more than a 15-minute drive to downtown, and which boasts a cute little community that's quiet and close to all the action.