If you are really looking for satisfaction and support, alumni giving and graduation rates are perhaps a pretty good proxy.
There are different kinds of support. Rabid sports boosters of big time programs (and their affinity may be more to the sports program than the academic mission), people who had a blast (but didn’t necessarily get a great education), and ones who think the school benefitted them and would recommend it to others for that reason (these people may not have had the best time, but appreciate it later).