The only golf courses that I know of that could be considered non-profit are the ones for the military. Some of the bases have golf courses for active, retired and dependents of military people that do not cost anything to play at them. I think that is a great thing for them.
The term nonprofit does not mean non-money making. Nonprofit simply means that the revenue an organization recieves (from green fees, club rental etc. ) does not get paid to the owners but gets reinvested into the project or even donated to other organizations. I haven't heard of a nonprofit golf course but it is completely possible.
Yes, in fact I live across the street from a nonprofit golf course. It's run by the county as part of a larger nonprofit sports park with a baseball diamond, soccer field, etc. The city of Tucson, where I live, also has several golf courses which it runs (I believe) as nonprofits.
There are no non-profit golf courses. However, there are golf courses owned by non-profit organizations, such as unions, schools, and universities. It is then a business owned by a nonprofit group. A golf course can also choose to donate extensively to charity, reducing its profits and taxable income.
Of course there is. I live in Hawaii and we have numerous municipal golf courses that are open to the public here. None of them makes a profit. Additionally, I attended a college in Massachusetts that had its own golf course and this was not operated at a profit either. Other colleges have the same situation.