I've used battle ropes on and off for years. I think they can be used at the end of a session of S&S if you keep the volume low and the rest long. I think a better option would be performing short sets spaced throughout the day (GTG) - 5-6 sets spaced in an 8 hour time period.
Remember that golf is a rotational power sport with short intervals and long rest as you walk/drive to your ball. You can use the ropes to replicate that but don't get too carried away or it will effect your recovery from S&S.
On a side note I've recently written an article about a "new" variation to battle ropes, it may help you develop leg/core power. I haven't tested it for golf yet so it's just a hypothesis. If you do try it let me know how it goes.
Battle Rope Leg Waves: The Ultimate In Lower-Body Power And Pump
With regard to fat loss I'm sure you know this already but I wouldn't count on activity to make much of a difference. The only people I've seen that work for have put in time to get really strong and carry around more muscle mass than most. Watching what you eat will probably be more effective.
Cheers!