If the interview is on site, I'd go out onto the golf course with the candidate. Let him or her talk about some ideas and respond to others.
Ideally, the candidate could have an hour or so to drive unaccompanied on the course, then come to the interview with a few suggestions for immediate, mid-term, and long-range improvements.
WW
I would actually be concerned if a candidate spent an hour on the course and came back with that many suggestions. I just don’t think it’s that easy to have all the answers right off the bat like that.
Check references, all of them. I’m amazed at how many course don’t do in-depth background checks.
Interview questions I like don’t have right answers, just allow the candidate to share what he/she likes about the game and golf course.
What’s the best golf course you’ve ever played- explain why it’s your favorite.
What’s the best golf turf you’ve ever seen in person? Why was it the best?
Favorite architects? Why?
Describe your mentors.
I’d want some passionate about the game, golf courses, AND golfers. It’s not hard to find someone who knows grass. Find someone who know Golf turf and loves the game.