We are currently maintaining a list of hotels via a shared Google Map (sorry, we can’t embed the map): https://mapsengine.google.com/map/edit?mid=zU7I5WXrVkwg.kBB3pqAS1ApU
Overall, if you are looking for an economy location then hotels closer to the Miami International Airport offer respectable rates. Hotels in Coconut Grove (just east of University of Miami) and Coral Gables generally specialize in atmosphere and respectable amenities, but more expensive. Please see our location page for information on public transportation and major streets (with directions to University of Miami).