There's camping and dorms by the Altamira ranger station, and a simple lodge run by the AsoProLA guiding association in the village of Altamire, 2km away. Homestays can also be arranged. There's also an unstaffed camping area near the base of Cerro Kamuk; pay US$6 at the Altamira ranger station to stay here.
Try removing some filters. Alternatively, there are some nearby lodgings with availability below.