Groupon offers the LifeProof nüüd Case for Apple iPad mini in Black or White/Grey for $39.99< with free shipping. That's the lowest total price we could find by $25. It's designed to survive drops of up to four feet and is fully submersible up to 6.6 feet for up to 60 minutes. It also claims to be dirt-proof, snow-proof, and shock-proof.

Update: Apply coupon code "4JULY10" to cut the price further to $35.99.