Zagg offers the ZAGG invisibleSHIELD iPad Mini (HD) (Full Body) for $31.99 plus free shipping on orders of $29.98 or more. Use coupon code ZAGG20 applied during checkout to get final price. Under #2 check mark "Full Body Easy Install" (Front and back coverage) on the Zagg website.

This is the lowest price we could find currently. Protects against scratches. The slim sheet covers and shields the iPad Mini seamlessly. Comes with Lifetime guarantee.