well, given my experience with the bigger bore guns, I would say you are limiting yourself on power with a .62 caliber in 1:66.
Never had one with that fast a twist, always liked them to be nice and slow, like 1:104. Have tried 1:144 once but decided that was too slow.
So with mine, they generally dial in with a "plinking" load at around 135 grains Ffg GOEX. I use a .610 cast ball with Ox Yoke .015 dry patching. For hunting I do use Wonder Lube on the patch, for target, either saliva or Ol' Thunder.
The barrels were all tapered 1 1/8 to 1".
Another thing to consider is stock profile. My rifles have all been English Sporting Rifles, which are recoil friendly, at least to me. With a Hawken design rifle, I kinda think the big powder charges would be somewhat abusive to the shooter. So, maybe the 1:66 is a good idea after all. I would guess that you will get good results between 90 and 100 grains Ffg.
But, as always, you should let the rifle tell you what it wants to be shot with, rather than trying to tell the rifle what you want it to shoot.
Have fun, and welcome to the big bore club. A great institution.
John