There are some shady spots and the AN beach is generally not too crowded so shouldn't hard to get a chair under the trees or move one there. The trees are sea grapes though so watch out for messy things falling on your blanket. They stain. Also they attract bees and birds sometimes. Be aware that you can still get a sun burn in the shade. Take some got sun block and use it on delicate areas.
Our room over looked the AN area. I have some pics of the beach empty that i took after everyone had left. We found plenty of shady spots to get out of the sun for a while. Our favorite spot was next to the bar!!