I think I have a solution that's going to work for my Leupold rings and for the OP's Burris rings. The basic problem common to both is there's no provision to handle ring movement due to recoil. The usual way that's done is with cross slots on the rail and a slot lug or cross bolt on the ring base. Looking at the CZ rail I see these little depressions along its length. I don't know their actual purpose; probably to locate positions for safe drilling and tapping is my guess. But, hey, couldn't they also function as a "slot" for a recoil "lug"? So, here's what I did:
1) Starting with a nail of appropriate size I made a pin slightly longer in length than the thickness of the ring base.
2) I drilled a vertical hole of matching diameter vertically through the base, behind and allowing for the cross bolt, all the way through, so the pin's position can be adjusted, and it can be removed with a punch.
3) I inserted the pin so it protrudes below the base, but not up throught the ring interior.
4) I mounted the ring over the "slot", tightened the base claw cross bolt, then tapped the pin firmly down into solid contact with the rail inside the "slot", then finished tightening the cross bolt.
There's really only need for one of these, you can use either the forward ring or the back, whichever location works better when positioned over one of the slots. I used the back, because I needed to mount the scope about as far back as I could.
The result looks good to me. I haven't shot it yet. Hopefully later this week.