Back when I was young, long ago, there was a stink because people were buying surplus ammo to shoot in their Springfields, only the surplus ammo was 8x57... ["Don't all soldier boy rifles shoot the same ammo? DuHHH? Well.... NO..."] The incorrect assumption was that the 8mm/.32 bullet into a .30 bore was causing the pressure, damage, etc. Mr. Ackely rechambered some .30 barrels to 8x57 and fired many rounds with no difficulty. No accuracy either, but no pressure problems. The damage was from the shorter case, 57mm, splitting and letting gas loose in the longer, 63 mm, chamber. So I have worried little about shoving a slightly over sized bullet into a slightly undersize bore. Know a man who slugged some P14, .303 British barrels. If he and I can read a mike, the bore was about .307 (5 groove, more difficult) for the .311 bullet, or .312... ball I have heard some stories of .316...
The two great " high pressure" lubes are lanolin, available at any drug store, or castor oil... usually the same. Some synthetics might equal but none I have heard of exceed. Some mix the two... Suit yourself.
Mr. Corbin, Dave (has a brother Richard) on his web site has a directory of bullet makers. Corbins.com. Swage.com. bulletswage.com, etc. (He is computer skilled too.) Possibly someone is making the exact bullet you desire. Luck. Happy Trails.