180 seconds is in-line w/ a huge 20% hp buff... every 7 seconds, you can reduce the cd by 5 seconds...
Cast Beast Awakening
Cast BoP ( 175 seconds remaining )
Cast BoP ( 163 seconds remaining: 7 sec cd for BoP + 5 secs for hitting = 12 secs ) 7 secs into the fight
Cast BoP ( 151 seconds remaining ) 14 seconds into the fight
Cast BoP ( 139 seconds remaining ) 21 seconds into the fight
Cast BoP ( 127 seconds remaining ) 28 seconds into the fight
Cast BoP ( 115 seconds remaining ) 35 seconds into the fight
Cast BoP ( 103 seconds remaining ) 42 seconds into the fight
Cast BoP ( 91 seconds remaining ) 49 seconds into the fight
Cast BoP ( 79 seconds remaining ) 56 seconds into the fight
Cast BoP ( 67 seconds remaining ) 63 seconds into the fight
Cast BoP ( 55 seconds remaining ) 70 seconds into the fight
Cast BoP ( 43 seconds remaining ) 77 seconds into the fight
Cast BoP ( 31 seconds remaining ) 84 seconds into the fight
Cast BoP ( 19 seconds remaining ) 91 seconds into the fight
Cast BoP ( 7 seconds remaining ) 98 seconds into the fight
Beast Awakending & BoP available again 105 seconds into the fight
So if you follow the way RW wants you to play, it's 12 secs of +20% hp w/ a "real" cd of 105 seconds or 1 minute 45 seconds. So yeah, if you burn bosses in under that amount of time, you don't have to worry... but if a boss fight takes more than 105 seconds, you just might need that +20% hp :))
if anything, I would ask for a play mechanic changeup:
Beast Awakening: Temporarily increases hp by 20% for 12 seconds w/ 180 second cooldown. Every time Blade of Protection hits, 8 seconds is added to the Beast Awakening buff.
This way, if you keep hitting w/ BoP, then you'll keep your +20% hp buff going; but if you miss, you gotta wait for the full 3 minutes from the original cast of BA.