There are several mini golf courses near Universal that are not related to the mouse. Pirates Cove, plus I think there are 1 or 2 others on I-Drive. There is also a glow in the dark mini golf course in the Festival mall, which is about 5-10 minutes away.
That one is very fun-I did both courses, once with my 7yo ds, the other time with my 18 and 21 year old sisters. We all enjoyed it, and both times we met a bunch of locals there too, and that's always a good litmus test.
There's also a Congo River one, never been there, but it looks okay. I think it may be a little closer to Universal, by maybe a 15 minute walk? I could be wrong.
There are two minigolf courses on I-Drive close to the Sand Lake Road junction, one on the right (Tiki Island Adventure) and one on the left (Congo River). Pirates Cove is just a bit further down on the left, which in my opinion is the better of the three.