There is a porta-potty on the trail right before the beach.
There are some porta potties near the end of the Red Trail which is pretty much right before the beach. However it's still probably a 10 min walk (depending on your walking speed and trail conditions) from the entrance of the beach. Plan accordingly!
Yes all the way down at the end of Red trail there is about 2 porta-potties. There is a bathroom facility at the parking lot also.
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