You might want to bring this issue to the attention of the dean. In this day and age, most grad schools have at least some classes streamed. Your institution needs to keep up and do the same. If it’s a wireless lav system, someone should be able to stick a 1/8" patch cord and record directly from the mic.
Ideally that someone should be the school. At my campus, we have two large lecture classrooms and the lectures are almost always taped automatically. Obviously you’re quite entrepreneurial but it’s a universal design issue that could improve the quality of education for all of the students in the program.