IMO, the best person will be whomever chooses to do so. Particularly for basic introductory course, the teacher doesn’t need to be an expert, they simply need to know more then the students (presumably little to nothing) for a basic course.
Having spent a fair bit of time with Inventory, looked at Solidworks, and now truly attached to Fusion 360, I believe 360 is the better choice of the three for most of our members. It seems the best geared to the occasional or hobbyist. Unlike the others, if one later decides to perform commercial work, the cost for Fusion 360 to do that is orders of magnitude more affordable.
In any case, any one of the packages is capable of producing machine ready designs for any (and all) of our CNC machines (3D printers, CNC router, CNC Plasma, Shapeko, and HAAS). I think this type of class would have the greatest effect in allowing members to make the best use of the space.