Is a graduate from UofA or ASU going to have a better chance than a graduate of MU at a large firm job given the same class rank at either?
Distribution: Phoenix appears to dominate to the legal scene in Arizona, while Kansas City and St. Louis seem to be fairly equal. I have lived in all three cities and would be happy in any of them, but I'm not sure if the concentration of one larger legal market as opposed to the separated markets has any relevance.
I'm from Missouri and went to Mizzou, and have a few friends who stuck around for law school. I can tell you that the law school is right in the prettiest part of campus and it's a pretty new building (10 years old, maybe?). The city is a hidden gem, but then again I may be biased. I think you should visit and see if it's a fit for you.
As for job prospects, from what I can tell, the law school is great in a few areas. If you're interested in politics, it's the only LS within 2.5 hours of Jefferson City, the state's capital. The thing people forget is that many SLU grads end up in Illinois, and many UMKC grads end up in Kansas. Wash U grads go anywhere, from coast to coast. So really, if you think you'll want to stick around in MO, I don't think you can do better than Mizzou.
But just my opinion, I don't know anything about U of A. Hope this helps.