I have done many, many CZ and BRNO of all kinds.
First - the CZ rings are very well made and fit their receiver dovetails like they are supposed to unlike some others that may or may not have the correct dovetail shape or the correct stud to fit into the side notch of the receiver. Some rings of course are not made for the CZ dovetail at all.
Do not let someone convince you to drill and tap the receiver.
The way I have always done the CZ/BRNO fits is to check to see that the rings and scope tube diameters are meant for each other. 26 mm, 1 inch, 30 mm rings and scopes abound in the euro world. There are other sizes that may turn up as well. Recent manufacture tends to be either 1 inch, 26 mm or 30 mm.
Once I find my proper placement for eye relief, I "snap" the rings together on the scope (you may wish to use a thin tape to protect the tube for that upper ring that needs to "snap" over centre of the tube) I screw the whole thing together to make sure the screws all fit nice and are not too long into the receiver or any other issues.
I keep the screw that goes up from underneath the base into the rings just slightly loose for this fitting. I do a quick bore sight check to see if everything lines up close to line of site.
I rarely lap.
Once everything fits with the CZ type rings and bases, and it is snug enough for everything to stay in place, I then take off the whole of the scope and rings from the receiver of the rifle and tighten the under screws into the rings, Sometimes on the big bores I use some purple locktite on those screws.
(The thing about these CZ/BRNO rings is that the screw up from the base into the bottom of the rings must be allowed to find its center when the rings are on the tube. If you have that base screw too tight so the rings cannot move and try and then put the tube into the rings and then clamp it all down - you could get a side wrinkle in the tube.)
Then it all goes back on the rifle and you snug up the bases onto the dovetails of the receiver.
At that time you get you crosshairs vertical and using a good torque driver in INCH LBS - you slowly snug each screw to the the rated spec --- it does not take much. I think they are 3mm screws - 20-21 inch lbs for a .22 should be good
I suspect (only guessing) that you crushed it down too far, or had the rings tight on the bases but the rings were slightly off of perpendicular to the tube. A very common trait among guys like me. Normally I used to snap screws off instead of wrecking a scope - but over the years I have become more gentle and precise.
It sounds complicated but it is not.
BRNO has been using this system for some 70 years or so. Any 11mm dovetail will fit another set of rings and bases for that size. Same with the 16 or 19 mm dovetails. I switch scopes by unclamping one base for a ZG47 and putting it on a BRNO 600 or CZ 550 - they all fit in that size range. It was their Picatinny rail of its time.