Robert: the 7.62 should be a 308 diameter. Yes, it is interesting that they call the AK/SKS round a 7.62 when it carries a 310-311 diameter bullet. Hay, their 7.62x54R carries a 308 bullet.
You could probably load a 310-311 lighter weight pistol bullet into the Tok case, something like a 71 or 77 grain slug for a 32 ACP, or maybe even some of the XTPs for that caliber. And, that may be how and why some ammo makers use those sized bullets to keep pressures down.
On one of the other forums there were questions about handloading this cartridge, in the Self Defense forum for pistols, and I think they were using charges of H110 behind a 90 gn .308 HP and getting factory velocities and good accuracy. You may want to try and find those posts. HTH. Mikey.