If it gets ridiculously hot, then, yeah, wear some short sleeves. Do what you gotta do. I just wear thinner dress shirts and roll the sleeves.
I visited the U.S. Virgin Islands last summer for a wedding and it was downright impossible to dress as I usually do, so I definitely wore a lot of polos (along with linen shirts). Beachwear is great and perfect for a beach! Get some leather boat shoes and let the water wear down the leather.
One thing I will recommend: if you can’t swing the price of a pair of linen pants, then try to get a pair of seersucker pants instead. You never have to worry about wrinkles and you can machine wash them.
My EDC is very light now, but just has a few objects that don’t sit so hot in pant pockets. I might do a future EDC post on this.