2 Barrells,

If the correct dimensions are .065" and your rifle won't close on anything thicker than .058" then the rim section of the chamber is too shallow and you should get your gunsmith to correct this. I'd probably get it cut to .062", being the greatest thickness of rim you'll encounter (??).......but that doesn't allow for crud in the rim section of the chamber.

However you could restrict use of cartridges to .058" or less rim thickness.

Or get a buddy with a lathe to turn the inside of the rims to suit the chamber and enjoy "perfect" headspace.

Whichever way you go do not force the gun close. This is very hard on hinged guns.