I think much of the project management teachers are teaching part time. I think your qualifications are great to teach PM in any university, even the best ones. There is a lot of demand for excellent teachers in PM because of the increased demand for project managers in general (I remember that one of my teachers didn't even have an MBA, she only had a BS and a PMP, and she taught a project management class in a very prominent university).
Now that we have established that you can teach PM with your current qualifications, the question is how you can get the job. The best thing to do is to use your connections, surely you know someone working in a university or studying at a university who can connect you to the right people. The thing is most universities are looking for PM teachers, and the problem is that they don't know where to look, and they will appreciate if someone recommends someone else as an excellent project manager.
Alternatively, if you don't have any connections at the universities, then all you need to do is go there (Faculty of Management in any university) and ask if they need someone in their staff. You can volunteer first and work for free, just so that you can gain the experience and the acknowledgment by a university that you are indeed a PM teacher.
Note: Having a PMP/PgMP is a great asset and I think you should do it before applying for the job.