The very first bullets I shot from a brand new, never fired No4 MKII were Remington 180 grain RN that mic'd .3105", driven to a measured 2412 fps avg. Plinking was all this rifle saw, and accuracy out to 200 yards+ seemed plenty good to me. Never did slug the barrel, but if given a choice I'd always go with .311"/.312", especially so for a wartime production rifles from both sides, or ones with a ton of use.
Really would be very helpful to slug any barrels you can, and be on the lookout for loose bullet fit should your expander be generous, coupled with the .3105" diameter. As mentioned in the other post, maybe give the bullets a try, see how they fly and go from there. FWIW, .3105" could be very useful shot in some Fin M39 rifles chambered for 7.62x54R.