Not sure this speed thing is a valid argument. Lower velocity = lower drag on the meplat = less force applied towards tumbling the bullet. Sorta compensates for the lower rotational speed.
IIRC, some cylindrical wadcutters in .38 Special would tumble if fired too FAST in .357s...
Anyway, for greater economy, trend away from the heavier .30-caliber bullets now favored by the lead crowd. There's one that fell out of favor in the 1970s or so (can't remember if it's by Lyman or ....???) because NRA tests showed it has a tendency to slump at the nose and give poor accuracy above about 1400 fps.
It throws about 165 grains with reasonable alloys, is made for a gas check (not really needed at subsonic), and it's POINTY, a slightly shorter-radius ogive than the Sierra 110-gr HP that's not really made for the .30 Carbine.
Whoever makes/made it, it's the joint that uses the 311XXX numbering system, with the first three the approximate diameter the bullets will go if cast with pure lead. Or something like that.