In the early 80's I had a German hammer cape gun chambered for 16 ga and 9.3x72R. Although I could buy RWS ammo in Anchorage it was quite expensive so as an alternative I bought a box of .348 bullets and used a bond paper for paper jackets and reloaded for the gun. They were greased with Lubriplate and the final diameter was .364. Final weight is 200.2 grains. I found seven of them that I still have in a drawer. They shot well enough but I had little idea how all that stuff worked and didn't know anyone that could help improve the accuracy. I'd probably be embarrassed to say how I arrived at a proper load for this combination if I could remember.
I bought a nice Kerner falling block rifle chambered for the 9.3x57R/360 last year and ordered a Steve Brooks mould. The bullet is a stepped slick bullet and casts at 206 grains using a 20:1 alloy. I'm patching with a thin paper and my final diameter is .366. It is a very accurate rifle and with the paper jacket I don't have to fret over leading. I'm simply using beeswax for lubricant. My velocity is at 1,700 fps. I don't have to have a bullet sizer and lubricator with this method and it might be a good solution for you.
If anyone is interested in any additional details I can provide them.