Looking at the mount at the link you provided I see that it looks to be a dovetail type mount instead of a picatinny/weaver type rail or mount. Maybe you can verify yours? The 1" offset flashlight/laser rings are for a 1" tube. I verified with a Redfield scope I have, and they offer the normal amount of available tension as other typical rings. (I provided a pic of the gap on the ring cap and body with the opposite side tightened down fully.) They also give what looks to be an exact 1" offset which, obviously could go either direction. They are set up to be installed on a picatinny/weaver type rail so verify if that type ring attachment will work with your rail. I bought these from CTD and they come 1 per box, so if they will work with your rail you will need 2.
Unfortunately I cannot attest to their strength with a scope, versus a flashlight or laser. I am kinda doubtfull as to your rail unless you can verify a picatinny/weaver style ring will work. I would also question proper ejection with the scope directly over the action, and maybe a more knowledgeable person can attest to this, but I seem to recall the sniper variants based on this action actually being canted in the stock to account for this, or something along those lines, but once again I'm far from the Swiss expert.
IIRC they were under $20 apiece when I bought them last year from CTD. Before I got too carried away I would try to verify positive ejection with the scope over the action. Then maybe you could add a picatinny/weaver type one-piece rail to the top of your dovetail, assuming the existing mount is soft enough to drill and tap. Or you could just leave the scope as is and try an add-on cheekrest, say one of the velcro styles, with it canted to the side so it puts your eye more inline with the scope while giving your cheek a proper rest.