Is your time running out? Or are you getting triple carted?
If you are getting triple carted your strategy to remove the sting from a monster, while good to do overall, is what is keeping you back from learning the monster. You will benefit much more from learning to avoid the attacks and learning its patterns instead of minimizing how hard it hits you. Right now, you are going into battle thinking "even if it hits me, it will not hurt me as much", when you should be thinking: "How do I avoid getting hit by it?"
Try this: Gem in "Earplugs" or higher into your armor, and just AVOID hits from the B-Gigginox for 5-10 minutes. Learn when to put away your weapon and run, and how it shoots its electricity. Eventually, dodging with your weapon out, and taking opportunistic chances will come naturally, and beating it will be much simpler.
If you are just running out of time: Attempt to stay on one of its wings at all time by rolling to it and doing small combos. These add up. Your weapon is good vs B Gigginox, who is weak to water, so just keep at it.
My 2 Zenny