A .311", no kidding. Or a .310" and lap it. Decimal reamers in .001" increments are readily available.
21/64, at .328 is 18 thou oversize which is an order of magnitude too much slop.
5/16, at .3125 is probably just fine.
Any chatter on a carbide reamer and your edge flakes off. Most reamers are very long with straight flutes. You need a very short reamer to prevent chatter, spiral flutes may help (but probably not on something as thin as a blade), and you shouldn't be removing more than about .010", preferably less. I would use low RPM and a steady feed and an oil.