The functionality that you describe is the .460 class rifle:
.457 through .460 and there are a lot of them.
The rounds are expensive (2.00 per round)to buy as factory loads but they are cheap to reload. I reload .45-70 for about .14 per round for a 405 grain bullet. If I plink with a round ball, they cost about 5 cents apiece. If you get a long barreled rifle, you can also shoot black powder and use it as a 48 gauge shotgun.
The most fun you can have with a rifle is the .45-70. Endlessly entertaining. And they will splash anything on the planet.
Ruger #1 might be just the ticket, or Pedersoli has some rolling block models that are quite beautiful. H&R of course has their Buffalo Classic in .45-70 which is very popular and a good large critter rifle as well as accurate at 1000 yards.
Thank you for responding and for relating your personal experiences with that model.