Something made on a 38spl, or 357 mag case would be fine in a sleeved 410 ga shotgun, with a decent lock-up! If it were a little more available, the 256 win mag would be perfect for this, or that same case necked down to 6mmwith no other changes in case shape. This is a wildcat I designed a few years ago to use in the little BSA MARTINI rifles, named the 243 COYOTE! It used a 75 gr bullet, and pushed that bullet @ 2500 fps from an 18" barrel, and was death on coyotes, and bobcats!

A factory round, the 218 BEE would also be a fine little cartridge for the little 410 based double rifle, or the 357 Mag/38 Spcl, would also work in the quality 410, as would the low pressure 45 long colt, though the chamber walls would be getting a little thin.

The 30-30, and such would be much better in a 28, or 20 ga action,IMO.