I have heard good things about the UIC MPH, and also about their School of Public Health in general. However, I, too, applied to MHA programs and didn't apply to UIC because the program is not yet accredited (last time I checked, it's been a few months.) I think if you plan on staying in Chicago or that region it won't be a major problem, but if you plan on moving it could be an issue that the program you graduated from is not accredited.
It's a shame, because I love Chicago and wanted to live there but I can't justify the potential long-term problems.
But, again, I'm sure it's a solid program. Think about where you would want to be in the future and go from there...good luck!! 🙂