Your original post was a complaint about the flagpole stance of the optics on your second-hand purchase. You haven’t provided any detail of the mounts currently clamped to your used CZ, but I did measure the height of some of the options on buying mine new. As you might expect, they’re all very much the same because they’re designed for the action or buyers would squawk.
As the pictures show, the problem with the CZ527 isn’t the bolt knob but the angular elbow on the handle where it joins the bolt. This fouls the large diameter oculars or the power selector ring fitted to some ‘scopes, so extra clearance is built into the mounts. Therein lies the problem.
The CZ527 American comes via EB from Kansas City complete with CZ ‘LOW’ rings for 1-inch tube scopes (P/No #5273- 1051-6409xx). At the time I bought mine this was the only model with CZ rings already supplied for the convenience of U.S. buyers. On these the caliper measurement from the flat of the dovetail to the radius above (where the ‘scope tube makes contact) is .550”. Let’s call this (A).
On 1-inch LOW Millett W/A mounts [#BN00001] the (A) measurement is .473”. On the higher MEDIUM 1” Millett mounts the (A) measurement is .586”. On a set of Warne mounts I checked (assured to be LOW but already fitted to another CZ527) the clearance (A) was apparently .560”. Warne mounts seem to be a Chinese puzzle so aren’t one of my favourites.
The point is that if you’re hoping for a lower setup there isn’t more than 2-3mm difference between these makes. As swapping wouldn’t confer any benefit to mankind or me it was best to stick with the CZ mounts already paid for in the RRP. The ‘scope in them is a 2.5 – 10 x 44 with a 40mm ocular, and there’s still 3mm clearance at the eyepiece. Not my choice at all with all that power on tap, but it came for free on a P/Ex. If following the fashion for mounting a whopper up top from the LSO brass section the CZ mounts would still fit as the Czechs no doubt intended.
This ‘scope looks high, but that’s partly an effect of the dinky micro-action. Everything is pushed out of scale, and the action rail/’scope tube gap appears big enough to limbo under.
One option is a raised Monte Carlo type stock, as the Classic stock fitted to the American is the highest at the comb you can get. Otherwise the only remedy is to fit a raised cheek pad, and put up with things as they are. Otherwise you will need ‘custom’ low rings to go with your flattened bolt handle. With these you’ll have moved from cosmetic appearance to an actual improvement where the ‘scope is no longer floating up in the ionosphere.