If they're all mutiplicative, then it sounds like it's best to:

Raging Strikes (every other buff cycle)
Internal Release (pop every time it's off GCD and you'll hit every Raging Strikes buff cycle with the third cast)
Hawk's Eye
Blood 4 Blood (must pop before Barrage, but want it to be the last buff before Barrage so that the activation time of your other buffs causes you to "waste" less than the full 10 sec when it will be back up before the others)
Barrage

^^^ Every 90 seconds unless you're waiting on a burst phase.