Could the ham be hung and dried at this point without thermal processing to produce a country ham or prosciutto style?
No, the ham has too much water activity at that point. When dry curing you are not only curing the meat, but also dropping the moisture content to make the meat safe. I have used this method to make a shelf stable dry cured ham that I aged for 5 months before eating. The only reason I didn’t let it age the full 180 days was the wife complained that the cupboard smelled like a BBQ pit.