ING2 vs INN

[Pyroclastic]

Hello guys, I've picked up crafting 3 weeks ago, I'm at the point now where I'm 100% HQ'ing 3 star master crafts 85-90% of the time on weaver. But since I don't have loads of experience, I would like to ask a question here that I've been wondering about:

When you're getting ready for the BB combo, while "fishing" for a good/excellent after SH1, do you use INN first? Or ING2?

I know a good with only BB is better than BB+ING2+INN on a normal.
But is BB + ING2 or BB + INN better?

The reason I'd like to know this is because I want to use the highest quality contributer first incase I get an early good condition.

Any other knowledge or tips are also very much appreciated.