Back in the day when I first started reloading for my SKS rifles I shot lots of jacketed bullets from all the major bullet mfg. that made .310 & .311" dia. bullets, I wanted to see which ones shot the most accurately before I stocked up. Bulk bullets in those diameters in the 123 to 150 gr. ranges were fairly cheap back then, I even tried a few .308" dia. bullets I had lying around just to see how they would do an needless to say they didn't shoot very accurately at all.
All my SKS rifles of which I have 3 from 3 different countries or origin have .311" groove bores and shoot the most accurately with the .310" dia. bullets followed by the 150 gr. in .311" mainly any of the Hornady FMJ,SP or V-Max offerings in 123 gr. are excellent. I have a good supply of the FMJ an SP's stashed away fora rainy day as I mainly shoot my cast lead or powder coated cast bullets about 99% of the time these day.
Reloader #7 works well with both jacketed as well as cast lead bullets and IMR or H-4895 does as well, with Alliant 2400 being just for cast lead only. I picked up a lb. of the Hodgdon CFE Black a while back but I haven't had time to work on any loads using that powder as of yet. I hear you can get some higher velocities with lower pressures with that powder.
Here are few examples of some loads I worked with over the years.
Cast loads, Lee 160 gr. TL, NOE 155 gr. RNFP, Lee 185 gr. RN.
And just because I could and did and they cycles through the action just fine and were minute of pop can at 50 yds.