There are a wide variety of 360° circular protractors available...
https://www.amazon.com/s?k=circular+...f=nb_sb_noss_1
Perhaps there is some way to attach them to a plate or directly to the chuck. Not as accurate as a dividing head but perhaps adequate for your purposes.
Also, remember that one can step off N divisions on a circle with radius R by setting the dividers to the chord calculated from:
chord = 2 R sin (180 / N)
[Note that, when N = 6, a hexagon, the chord length becomes R, the radius. Most of us learned that in grade school.]

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