Just my thoughts on the subject.
If wanting to reduce recoil my advice is to restock the barrels with Renegade stocks then mount a slip-on recoil pad. Only because the Renegade stock seems to have a shorter than usual feel to many shooters the Pad will indeed increase the stocks overall lenght which enhances sight-plane and no doubt felt reduction in recoil. (a welcomed two~fer.)
Distance from deer with OE requires the shooter to know his rifles limits and his as well.
What many black-powder hunters fail to recognize. "What they tote is antiquated. Not a Rail gun."
If requiring some others experiences in what he/she needs to do afield to garner a successful hunt. Ask a successful bow hunter and follow his advice how he enhances his chances across the board in his taking deer with a antiquated tool.
As far as bullets and ball on deer size game. Most older shooters toting side hammer rifles usually go full cycle. Shooting ball then bullets and seeing little difference they return to patched ball and stay put. Those who are believes "never~ever patch ball" In time such shooters will likely turn to inline.
As far as my experiences.
I hunt my deer with a Hawken 45 cal and patched ball. Although this rifle has a factory {cheater} Rd Ball Only scroll. Such barrels do tighten groupings but not all that much when comparing a 1-48 to a 1-66 and both projectiles use.
When it comes to larger game (bear) My 54 cal Renegade w/1-48 and a heavy charge gets the job done probably because the rifle is a dedicated shooter of Maxi Ball only.
Keep in mind a larger bore doesn't always increase you're luck.
Although your hunting/practical knowledge and sharp aim will indeed bring about a successful hunt time after time.