I am a CWRU parent.
Cleveland is a small scale city with neighborhoods. Its not nearly as dangerous as say South Side Chicago, but one must be aware of where to go and where to avoid. Travel between campus and downtown with the Healthline bus or the train to West Side Market, Tower or the airport is all fine, but I would go with a friend on the Healthline / Euclid bus to get used to the feel of it. It goes by Cleveland Clinic and lots of East Cleveland residents use this bus to get to work.
My son is in his 3rd year at CWRU. He lived and one summer with a Case friend in the Coventry neighborhood, and walked back and forth to campus and has had no safety issues for all three years and the one summer. Summer of 2014, some kids, who were armed, got into one of the living areas, (my son was home in Colorado that summer) , but nothing bad happened, police came quickly and all was OK. Summer of 2015, as far as I know, few incidents, as they do lock the dorms. Summer is a little quieter, on campus, so it may be slightly more dangerous and deserted, but my son was fine over the summer, really enjoyed the nicer weather and his on campus research project.
Students get free passes to all public transportation in Cleveland.
The Healthline/ East Cleveland Bus runs up and down Euclid past CWRU and into downtown. I have ridden this bus with my son and its safe. I would say downtown Cleveland and the Lake Erie waterfront is a little deserted in the winter, but remember thats five miles from campus, and not an issue. Little Italy is a pleasant five minute walk , that felt safe to me, from north dorms or south side dorms.
My son has lived in north campus dorms or apartments all three years, a little unusual, as most sophomores live south, which is up a big hill, very nice view of Lake Erie up there, and quieter. South campus in not too far from the Roman Catholic church, which is next to Prestis, all very accessible from South Campus dorms and sororities. There is the “Greenie” bus to get around because Cleveland is windy and cold, and this also can be used to not have to walk at night, until your daughter gets acclimated and comfortable. There are some areas one should not walk, namely into East Cleveland or maybe north, but I myself walked, in February, all over campus in the daytime and at night, before 10 pm, and felt it was fine. It is very cold though! Need a lot of winter gear to not freeze to death on the cold and windy and sleet falling years. This winter was comparatively nice, warm, and even a bit more sunny than the first two winters.
Students get a daily or weekly crime report at any college campus, and Case provides that. So there is a nice awareness of whats up on campus.