Turnbull makes many different chamberings on M1895 Marlins, including the .50 Alaskan, which is a straight .348 case.

Any of the various wildcats on a .45/70 or .348 case would be excellent for a #4 or #5, and with slightly softer loadings, the #3's as well.

The .450 Alaksan will duplicate the .458 Win Mag in this rifle, BTW. Rim turned off to .532" to fit a magnum bolt face and new extractor groove cut in the case, I called it the .458 Alaskan. With 96gr. capacity, it does well indeed, for a 2.1" case.

In that chambering, the weaker #3 rifle will easily make 2,150fps with 400's & probably 450gr.
Here are two .458's on the Improved .348 case, both suitable for a #3, #4 or #5. They were both chambered with the same reamer.