It is perfectly safe to rent a car and travel all over the island. We have done this several times and had absolutely no problems. However always remember just like home do not take your valuables with you . There are just a few AI resorts on the Dutch side, Sonesta Great Bay Beach & Casino Resort, Divi Resort, and the Sonesta Maho all on the Dutch side of the island. I do believe there is only one AI resort on the French side, Mercure Simson Beach Resort. There are a lot more not AI on the island but many of those do have free breakfast. I think you will find the restaurants here quite expensive to eat at.