You can also try the moly coating the bullets. Lyman sells a decent one that used to be called MS Moly - same spray can, different label.
Some guys coat jacketed bullets in a tumbler with the moly powder.
Spray or tumbling, either works and might work perfectly on the smooth sided bullets.
Now - what diameter are the bullets. Most PP moulds cast undersize to allow for the paper patching.

With paper, you only need a small amount of lube rubbed onto the paper - even graphite powder will work with smokeless powders - your aluminum gas check should keep the base from distortion or melting. The paper patched bullets can also be sprayed with the aerosol moly.

Need more information about your bullets, diameters, methods of patching, diameter after patching, etc.