A bullet cannot be over-stabilized. It's either stable, or it's not. If the bullet is spun so fast that it wobbles and hurts accuracy, it's not stable.
When choosing a bullet, the first concern is choosing the right type of bullet construction for the job. Second, is choosing the most accurate bullet of the construction type needed. The only way to determine if a bullet is accurate enough for the intended job is to shoot it.
RPM stabilizes bullets. RPM is the result of twist and velocity. You can have a fast twist, but if the velocity is too low, the RPMs will be too low to stabilize the bullet.
Bullet length and shape determines RPM needed for proper stabilization, not bullet weight. (There is also the fact that if you shove a bullet out fast enough, you can just about stabilize it with little to no twist at all. That's how the smoothbore cannon of the M1 Abrams works but that takes a lot of speed.)
Even so, every barrel is a law unto itself. Regardless of it's twist, you won't know what bullet it will shoot well until you actually shoot it