I was recently contacted by a non-physician regarding how to find a medical director for a sleep lab she is opening. This sleep lab is not in my state (Mississippi). Here is my answer to her:
You can try advertising- either on the American Academy of Sleep Medicine Job Board, or in one of the sleep journals (either "Sleep" or "The Journal of Clincal Sleep Medicine"). You can also post the position at the Annual Sleep Meeting.
Another option is calling sleep physicians in your state (medical directors of existing sleep labs) and asking them if they are interested in being medical director of your sleep lab.