If you really don't want to work in Cleveland (or greater Cleveland, or whatever), you really should not go to CSU.
In Cleveland, you can get jobs anywhere, and even the very top CSU grads can apply at places like Jones Day, etc. However, CSU will always be considered a cut below CWRU in law, and that will severely impact your job prospects. FWIW, I don't think a person should go to CWRU, either, if they don't want to work in Cleveland. CWRU has pitiful portability out of NE Ohio.