FOC is 13.1%, you're ok there!!! But your spine IS weak. You'd be better off with a 340 with a 125gr tip, or looking into a different line all together unfortunately. A Beman ICS Energy in a 360 w/ a 100gr tip is about as good as I can do for you for a recommendation, but a second would be a MFX 340 or Hunter ELITE 340 w/ a 125gr tip, are CLOSE, even better with 135gr tip though.

HONESTLY, if a BH is on the fore-end of that arrow, it's going to accentuate form flaws, which will make your groupings worse. Guys who just move their sights to their BH's groups usually will have problems at longer distances, 40+, because if you need to move your sights to your BH's, you're not fixing the problem, which is the TUNE of the bow, you're putting a bandaid over it. Very small adjustments towards the direction you want the BH's to move IS the correct way to do it, and once you get your BH and FP's shooting to a near same POI (point of impact), you'll find that you shoot BH AND FP's better than you did before. Provided that you are RIGHT spined and have arrows spinning TRUE, you SHOULD be able to accomplish this.