For those looking for housing in the KC area, I agree with some of the other posters above. North KC is the best bang for your buck from my visit a few months ago. You can find a nicer and cheaper place in North KC with more grocery stores and green spaces to unwind. Think of your typical suburb. I will literally have everything within a 2-mile radius. My drive will be ~15 minutes from campus which is not bad at all considering the fact that my rent will be like 30% cheaper. Plus, you don't have to worry about the small inconveniences of living in downtown.
Having said that, the River Market area is still not a bad option if you don't mind paying the extra $300+ in rent as it puts you within 5 minutes of campus. You could also consider going further south in some areas in downtown, but downtown living comes with its own problems such as random traffic, crime, etc.