My husband and I are retired professors living part-time on Little Cayman, so we have come to know both A. sagrei and A. maynardi fairly well. Due to the dearth of information on the latter, we’re posting whatever we’ve got in hopes it helps someone or inspires someone. We have one, a large male, who sleeps most night on a ledge on the inside of our screen porch (he comes in a gap under the door). He goes to bed about 5:30-6 and wakes up around 8 am.
He is very regular in his habits & quite territorial — we watched him chase a smaller green anolis out of his sleeping ledge with much head bobbing and charges and this morning he smacked into another large male who had the affrontery to be sitting on his deck outside the screen porch! The other male either jumped off the deck or moved quickly to be underneath the deck.
Both maynardi & sagrei drink from our bird bath regularly & follow me when I water the garden to drink off wet decks or leaves. We have seen maynardi sucking nectar from flowering red passionflower vines & eating wild figs (very tiny figs, like a pea). They frequently climb on our screens and house to eat insects. They are rather abundant.
I also attach a photo of maynardi in its black/dark phase, which takes about a minute to change over completely. My guess is it is heat-related and emotion related.
We’ll field any questions about these species that we can!