I think this is an awful idea. First of all, a light enough propellant charge to push the bullet at only 1,000 fps likely will not produce enough gas to operate a semi-auto. Even if you don't care, or will be firing them in a bolt action, there's a safety issue here. You're proposing loading a very small powder charge in a rifle case. You will likely have trouble getting consistent ignition and burn rates, leading to wide variations in velocity and potentially squibs. This is a real issue in large handgun cases like the .44 magnum and .45 Colt, so I'm sure it's as big or bigger of an issue in a rifle case. Depending on what side of the fence you're on (see the thread about detonation in large cases with small charges), you may also risk blowing up your gun.
If you don't mind my asking, what's the point? If you want to shoot pistol ammo, get a pistol or a rifle chambered for pistol ammo. You can get a nice lever action .357 magnum for pretty cheap, and the components (brass, cast bullets, primers) are cheap, too.
By the way, the general rule for lead bullets is to size them .001 larger than bore major diameter (groove size). Thus, a .310 to .311 bore would typically call for .311 to .312 bullets. Going an additional .001 over shouldn't cause any problems.