Cycling in Grand Cayman

What’s the road cycling like in Grand Cayman? My wife and I are headed there for 10 days at the end of this week to celebrate our anniversary and I’m debating bringing my travel bike with me. We’re staying on the North side of the island (Rum Pointe), so we should be away from the busiest tourist section of the island. I’ve read that there isn’t much traffic during the week on this side of the island, but I’ve also read that there is a high likelihood of being struck by a car. Does anyone have experience to share?