In a small bowl, combine the warm pineapple juice, warm milk, 1 teaspoon of the sugar, and yeast. Stir gently and let sit for 8 to 10 minutes until foamy.
In a large bowl, whisk together the gluten free flour, tapioca starch, psyllium husk powder, remaining sugar, and salt.
Add the eggs, melted butter, and vanilla extract to the yeast mixture. Whisk until smooth, then pour into the dry ingredients. Stir vigorously for 2 to 3 minutes until a thick, smooth, sticky dough forms.
Grease a 9x13 inch baking pan. Using a cookie scoop or oiled hands, portion the dough into 12 equal balls. Place them in the prepared pan in a 3 by 4 arrangement, spacing them evenly so they will grow together as they rise.
Cover loosely with greased plastic wrap and let rise in a warm spot for 50 to 65 minutes, until the rolls have puffed up significantly and are touching each other.
Preheat the oven to 350 F. Bake for 22 to 28 minutes, until the tops are golden brown and the internal temperature reaches 195 F.
Remove from the oven and immediately brush the tops generously with the melted butter. Let the rolls cool in the pan for 10 minutes, then pull apart and serve warm. These rolls are pillowy soft, lightly sweet with a hint of pineapple, and perfect for sliders or as a dinner side.