Being as I'm a fan of pump action arms over lever actions, I keep trying to find a way to set up a big bore big dangerous game pump. Dixie slugs are something like that which work in a regular rifled barrel shotgun. My idea was a bit different. Something I could very well actually make on my own from past experience making barrel inserts for shotguns. This could take one of two forms.
1.) Take an existing round whose rim diameter is about the same as that of a 12ga shotgun shell, ie that could be fed and extracted through the shotgun system. Make either a new barrel or a barrel insert for that round, which would only be loaded to pressures the shotgun was designed to handle (14,000psi for 3.5"), perhaps using black powder or substitute.
2.) Design a round shaped like shotgun shell with the bullet receded in the front. Would be pretty easy to make each shell on a lathe, or even cast them. The shell would be bored at the diameter of the bullet, which would be the width of the powder column. A barrel insert could then be used that had a flat surface to mate with the flat edge of the cartridge. The pressures of this round could be as many times the original 14,000psi as the ratio of the cross sectional area of the round over the 12ga cross sectional area. 458 caliber for example could be up to 42,000psi. The smaller the caliber, the higher the pressure could be. 375 caliber could be as much as 53,000psi. I doubt I'd go under 375 caliber in something as low velocity as this. Actually the 375 Winchester would be a good comparison, being loaded at the same pressures and being only slightly smaller. Checking pressure specs again, the 458 caliber version would be similar to the 450 Marlin. 475 or 50 caliber versions would have to work with lower pressures, 33,000psi or 30,000psi respectively.
So think this might be a good idea? Apart from caliber, it would make available every option of existing 12ga pump shotguns, and if the latter concept were used, the shells could be treated in much the same way.