A slow twist .58 is not a good calibre for someone who is recoil shy - especially with a Hawken's butt shape. A flat or shotgun butt is better for the larger calibres.
I've a 48" twist .58 Enfield that does well with 85gr. 2F - even at 100 yards for 3" groups - I thought that was ok due to the 24" bl. and short sight radius with mitiary sights. I am sure it would do better with more powder, but it is light and I haven't shot more in it - yet.
I've a .58 cal. Double Rifle (again 48" twist, I think) that puts individual barrel groups into 1" or under at 50 yards and both barrels into 1 1/2"- with 100gr. 2F. This gun weighs 9 1/2 pounds and doesn't kick much at all - shotgun butt. With 110gr. it regulates perfectly (shooting parallel) - recoil is no different from the 100gr. load and is more accurate yet.
I've owned 1/2 dozen other .58's with slower twists since 1974 and every one of them liked 140gr. 2f for long range accuracy. I rarely shot closer than 100yards with them, a few times plinking at 50. My .58 Hawken at 11 1/2 pounds, with 140gr.2F to 200gr.2F and round ball, and up to 160gr.2F with slugs to 650gr., sort-of got my attention, recoil wise, considering the .577 Black Powder Express's heaviest load was the same 160gr. powder and a 650gr. bullet.
Dennis, I would not expect much in the way of great accuracy beyond 50 yards with less than 100gr. 2F. I would not use 3F - fast pressure rise which might give a sharper recoil generation - just a thought. It all depends on what your expectations and requirements for accuracy are.
100gr. should be easy to shoot in a heavy Hawken. Taylor, Crispy & LB can attest to the accuracy of my Double Rifle's little 100gr. load. I am using a .570" ball from a Lyman mould (Taylor's), but would prefer a .575"- I lack that mould at this time. It shoots the .570" just fine. Those mic .570" X .570" and I use .0215" ticking or .0225" denim. If I had a .58 with deeper than .008" grooves, I would definitely be using a .575" round ball with .022" or thicker patching.
The swaged Speer .570's that were given to me, did not match the accuracy of my cast balls in this rifle (or the Enfield). They gave about the same accuracy as the .562" Lee mould I have that casts .565" X .570" from both cavities - so much for Lee's tungsten ball press - think they forgot to do this mould - or something.