Don, I have just been down that road with my Funk Jubilaum drilling. My mounts are identical, except that both measurements on mine are 15mm. No matter. The CZ 527 were the route I took. I had to file off 1 mm, and they are tight, tight! The cZ rings are 16mm--so you are done on one, EXCEPT for the recoil stop on the base of the ring. It is square. The temptation will be to file it off and be done. There is a better way. It will not be perfectly aligned with the half round recoil stops you now have, BUT you can still file part of it to fit, and it will still function as a recoil stop. I don't expect it to shift given the caliber (same as mine). Hopefully the bases on the barrel are soldered in place so that a blow to the scope cannot shift a dovetail around. Take your time, and the CZ rings are an easy fix. Mine have been ABSOLUTELY perfect in returning to zero.
I cannot comment on tikka rings, having never seen them. The only complication you have is that one dovetail is 16mm, and one is 15mm, but I can tell you that the CZ rings can be filed on the one side where the loose dovetail is tightened with the screw. Mine works great...good luck with yours...Steve