Having stayed at both places, I will say that they are both nice. The Auxillou Suites is only four suites, but they are really nice and spacious and all the rooms face the reef. The Iguana has a larger compound with more rooms, and their rooms are also nice, even though the rooms are much smaller than the Auxillou rooms. The Iguana is also on the lagoon side of the island instead of the reef side of the island. When I stayed there, the days were quite hot and the location of Iguana did not make for great ventilation. The Iguana does have a bar on the property, tho, and the owners are pretty friendly. All things considered, I would go with Auxillou just because of the location.