Kickingbird in Edmond is the nicest public course in the area. Lincoln Park (west course) is second in my opinion. Trosper is probably my third favorite.
Be prepared to book Lincoln Park and Trosper a week out at 0700 (I think booking opens at 0700) using the OKC golf app. They fill up fast.
Another note, if you're a single, it's probably easier to walk on. That's mostly what I do. Lincoln Park is excellent at this, as they have a person dedicated to it, but it can take a while if you're not there when they open.
Edit to add, mind if I ask when you were in Hotard?