Hello, in addition to my large bore double rifle I talked about commissioning in another thread, I am considering speccing out a smaller bore plains game/white tail double rifle for my son for when he comes of age. I understand completely a bolt action would be a lot more suitable and a lot cheaper but I am committed and admittedly like the less common options on many things in life and lean towards traditional rifles, so no comments on “you should just get a bolt gun” please

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Right now in contention in my head is 9.3x74r, 7x57r, 303 British, 30-30 am I missing any obvious others?
Sadly the cartridge has to be rimmed for this fellows design or else I would undoubtedly choose the 375 H&H with an additional smaller barrel set. I could think about dabbling with the 375 Flanged, I guess once brass is obtained it’s as easy as a 375 H&H to reload, same components and everything correct? Only reason I’m leaning away is because every other cartridge has easily accessible factory ammunition.
I would be thinking a two barrel set possibly a third with 20 gauge barrels.
What makes most since to me would be a either
375 flanged/9.3x74r
+
7x57r/303 British/30-30
Am I missing anything? Thoughts? Thanks!
P.S. I currently have a Single Shot rifle for my son already priced and specced out from the same fellow that CAN use rimless cartridges. Currently have the 375 H&H and 7x57 specced with both barrels being threaded for a suppressor. I don’t think a single shot shotgun barrel would be super useful/worth the extra money so I wouldn’t do one on a single shot. However I’m thinking about spending ~40% more to make it a double, only downside other than the additional cost is it then could not be threaded for a suppressor, which I feel in the modern era is becoming a necessity(I also don’t want my son to lose part of his hearing at a young age like I have), but again decisions decisions….