The type of shell fit you have plays a big part in this. Combine the snug fit with the shape of the Cochise's shell (specifically the heel, where the shell creates the heel pocket & the total height of the shell in this area), this is a common issue. The height of the heel area of the shell is required for heel retention & forward lean but it also means when touring and you try to stand upright or actually stride forward, it causes your foot to slide to the front. You really feel this during the stride movement and can feel the shell dig into your Achilles area when you try to get full range of movement to the rear.
On full-on touring boots (like the Backland) the upper heel area will be super low (and actually rearward moveable) to prevent the foot from sliding forward when striding. Since downhill performance is really important to the Cochise, they keep more or less a traditional alpine heel construction. So when you combine that with a tight shell fit, your toes will get pretty smashed into the front of the shell when touring.
You can experiment with thinner liners to gain some space, but then you will lose a bit of foot hold for skiing. Or depending on how long the tour is, don't use the ski/walk mechanism. This will keep the boot's forward lean intact and hopefully keep your toes off the front a bit more. Just open the buckles and power strap to get movement to the front.