Hello and Welcome!
A couple questions then a lot of opinions
Do you reload and what is your definition of large game?
What flavor of 460 do you have? That would likely do it with the right setup.

Other cartridges that come to mind are...
300BO with a good low velocity bullet would do that just fine.
357 Max, or 350 legend for moderate bore options.
If you wanted larger bore, 444 Marlin, 450 BM, 45-70+p, 450 Marlin, 450 Winchester, 458 Lott.

An encore would do all of those. Long Frame BFR will do several of those options and could be another consideration, but i'm not sure what you would loose with the cylinder gap.

i hunt a 14" 30-30 with the 110gn Barns TAC-TX bullet (hunt at 2300fps) designed for the 300BO and am comfortable out to 200+ yards. The bullet should expand to 2x diameter out to ~400 yards. Deadly on deer.

I also hunt a 15.75" encore 45-70 with the 300gn TTSX bullet at ~2100fps with a custom throat to accommodate the longer projectile and am comfortable out to ~200 yards for good bullet expansion. A bit of a big hammer for deer, but lots of fun.