gelarson,
I have had my T/C .50 Hawken since the early 80's. I have shot many different projectiles through mine, and I have settled in on a few that really shoot very well. I have a Green Mountain 1-70 twist round ball barrel that shoots a round ball great no matter what charge you put in it, but my 1-48 twist barrel starts to spread groups somewhat after about 80 gr. of FFG goex.
I have two favorite conicles. The 370 gr. T/C maxiball is very accurate, but a few years back I was trying to work up true power load, and I discovered the No-Excuses .50 460gr. conicle. You might think it is too long for the rate of twist in a 1-48, but it is probably the most accurate projectile I have found. I use 85 gr. of FFG Goex blackpowder, and I shot a young buck at about 10 steps this last deer season. Needless to say, 460 gr. of lead had no problem penetrating the young deer. I know it is a bit overkill for a whitetail, but the accuracy is amazing.
Here is the link for the No-Excuses bullet.
http://members.aol.com/noexcusesb/page3.html
C. Davis