Praia do Abraaozinho is not advertised and certainly not the most famous of all Ilha Grande beaches as far as I know but it fits the bill big time to me. Could have a summer retreat there anytime if you ever ask.
Just under ten minutes boat ride from Vila do Abraao it would take around half an hour trek to reach it enough to discourage more than one - and thus giving me several hours head start for an early morning swim before anyone shows up.
Don't know about you but I love quiet places where I can be overwhelmed by nature an innocuous participant of its grandeur playing only the part of the unobtrusive guest. This adds perspective to my life, irrelevant of the place I happen to be at.
Listening to birds before dawn and the relaxing sound of waves reaching the shore is a marvelous way to be awaken far from the crowds but close enough to have a chat if needed.
Abraaozinho is all that.
At the end of Praia do Canto you will see a trail branching off Trilha 10 (Abraćo - Pouso) with the corresponding sign pointing to it.
Following the coast you will pass Jślia Biquinha Comprida and Crena beaches. Not particularly demanding as a trek but definitely not the kind of walk you'd enjoy at sundown.
My suggestion would be for you to start the trek around 8 or 9am and to plan for a day stay till 4pm or so. Bring some water with you but do not worry about cold drinks or food there is a little restaurant/bar to have some fresh fish or sea food right at the water edge.
let us introduce you to the place. If you've already been there you are more than welcome to share your comments
videos or whatever else comes to mind.
In all cases please be nice and courteous so we can all rip the benefits and enjoy your own unique South America travel experience ever...
It might happen that after seeing some pics you'd love to be there by yesterday.
No sweat find out about how to get there and where to stay but - pretty pretty please - don't bring all your friends along would you?