St Andrews area for non-golfer family

Relax and enjoy St Andrews... It is the University town where William met Catherine. It has a good range of shops as well as the ruined castle and cathedral and a lovely sandy beach...

It is a charming town to explore, and the coastline is beautiful. It's one of the places that I found much more fantastic in person than the tv coverage- it's so flat, so the vistas are wide.
Of course, you do know that when teeing off hole #1 on the Old Course, the area is wide open, and you'll have several hundred spectators watching you hit that crucial first shot! Have a great time!

Have them do the Himalayas Putting Course next to the Old Course. Costs almost nothing and is a great deal of fun, even for non golfers. It is between old course and the water and has a great view of both.

If they feel adventurous, Dundee is about a dozen miles away. There is a branch of the V & A museum.

The #99 bus will take them from St. Andrews to the Dundee train station which is across the street from the V & A.

I spent multiple nights in Dundee in 2019 and liked it a lot. It's not overrun by tourists. The V&A is excellent, and there are several other museums that might appeal to your group. Just Google "museums Dundee".

Another possibility would be a public-bus trip south to the East Neuk villages along the coast--places like Crail and Anstruther. They could take a slow bus that goes through many villages on the way down and return via a faster bus that only makes a few stops.

Another recommendation for The Himalayas putting course. My mom and her friend (both non-golfers) had so much fun doing this while my dad and his golf buddies played the Old Course. I'm hoping to try it out myself if I have time when I visit later this fall. Looking forward to visiting St. Andrews as well! Have a great time!