If you can't handle stick to the pre-packed pints & cups. The vanilla, chocolate, and strawberry only have milk as an allergen. I get the pre-packed pints and have never gotten sick and long as I avoid the flavors with wheat.
The scooped area and milkshakes have cross contact issues, so avoid those if you need to.
— Somewhat
— Separate gluten-free menu
— Some
— Excellent