Elvis, you're going to have to "fit" them.
Adjust your dies so a couple casing won't chamber. Then bump the shoulder back until they do fit. Just fit. You're right about the "camming action" problem, so you'll have to compromise some.
Either that, or don't use cases more than twice. But I'm way too cheap for that.
Try this: Load a couple rounds at starting levels, and seat the bullets so they engage the rifling. This way, you know the base of the case is bottomed out on the bolt face. Shoot those; you'll get a case that exactly fits your chamber. Now measure those couple cases and see how they have to be. Adjust your sizing die appropriately.
Or have the thing rechambered. Ouch.
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