There is a problem with loading for the 8x57 JS (IS, 7.92mm): American (SAAMI) specs are different than European (CIP) specs. The SAAMI has a Maximum Average Pressure of about 35000 psi and the CIP allows for around 53000 psi. The rather mediocre SAAMI standards may be in deference to the old Commision Gewehr M88 rifle, which was a weak sister and was supposed to shoot a smaller bullet (0.318"). The M88 was not anywhere near the strength of your rifle. US loaded ammo usually will not cycle semi-autos chambered for the 7,92x57 because of this. Good European ammo, like S&B or RWS, etc., will do better.
You rifle is regularly customized and chambered for hot cartridges like the .25-284 and so on, so it will take full steam 8mm Mauser loads any day of the week, if it is in good shape. The trouble is, finding an American loading manual that lists full-steam loads. Look for a loading manual that lists MAP and pick loads that will develop the full potential of your rifle.
8mm Mousers generally shoot well, if their bores are in reasonably good shape. The military chambers are usually generous and the throats usually long, so shoot bullets that are around the same weight as military ball.