I know exactly what you're talking about. I put a set of low rings on a model 85 in .30-06 and experienced that problem. There was a ton of coverage on the topic on some other forums. What fixed my issue was going with tall rings. It was higher than I prefer to have a scope mounted, but that would also depend on the objective size of your scope. From what I remember it was only prevalent in '06, 270 cartridge rifles. Didn't remember seeing anything in the magnum category but the design is the same so I can't imagine it would be absent in those calibers.