When I had lost my medical for one year and it wasn't clear if I would get it back I thought of becoming a dispatcher. The ATPL exams can be credited for a dispatcher licence where I live. The downside is that dispatchers are typically not much around aircraft. (That might be different in business aviation.)
If it is important for you to set foot in a cockpit every now and then you could take up a job as a ramp agent. Just be aware that this is a job leaving not too many career options. One of the pros is that you have ample opportunity to broaden your network.
Another job you could find interesting is apron control. As an apron controller you don't necessarily have to be a qualified ATCO, but still you can direct aircraft over the radio.