As mentioned this is not easy to print. You might consider cutting the model into two pieces. From the shown orientation, I would do a planar cut just below the top surface, trying to capture those “screws” (I don’t know what they’re called, they tighten the strings) in the top cut and then flip the bottom section over so the spherical dome is printed like an upside down bowl. This should only require supports for the large piece at the top of the neck.