Great topic!
My wife comes from a long line of golf widows. In fact, her father was on the golf course for the births of two of his three children
Even with this long line of blessed men (or unfortunate women), I didn't play golf on my honeymoon. I even spent a honeymoon night at the World Golf Village, while The Player's Championship was going on just a few miles away. Ask me how many times people who worked at the WGV asked me, "so how was the tournament today?" "We didn't attend the tournament, we’re on our honeymoon"
A few pieces of advice that I could give you are:
1.) If you don't plan on golfing, go somewhere that doesn't have a course that you will kick yourself for not playing later on (i.e. don't go to Princeville and not play the course).
2.) If you are unlucky enough to go to a place that has great golf and not play, subtley let her know that not playing golf is killing you. Some things you can do is distractedly stare at the golf course every time you walk by it, visit the pro shop just to pick up a souvenir and say to her, "I usually don’t buy golf souvenirs from courses I don’t play, but I’ll make an exception this time since it will be a souvenir from our honeymoon", etc.
Notice, none of the pieces of advice recommended actually playing golf at all. Not a good idea! Not having played golf on my honeymoon has contributed to three years of playing golf (so far) without any questions from my better half. We’ve even gone on a few golf trips together (she just calls them "vacations").
Good Luck!