Beanman, have you tried Hornady FPBs or Thors. With my Omega, seemed like those with a rear bell on the bullet did OK with only an occasional flier.
Between my brother and I we have taken 4 elk with the 350 Gr FPB (although not with a T/C gun). Loads pretty easily: drop it in the QLA, then use a short starter to give it a "whap" to get it started/sized to your bore. Then load as normal
txhunter58
venor, ergo sum (I hunt, therefore I am)