Can you really guarantee an HQ using NQ items?

[Mikita]

I hadn't thought of using Byregot's Blessing, I think I had the impression that it removed Inner Quiet without letting me use Rumination. I'll have to readjust my skills and practice tonight.

Byregot's Blessing does indeed remove Inner Quiet, so you cannot use it together with Rumination.

Personally, I will use Byregot's over Rumination whenever possible.

Rumination is for those times when I miscalculated and don't have 24 CP for Byregot's at the end. In those cases the 40 ~ 60 CP from Rumination gives me the chance to perform a few more actions to try to save the situation, but it usually doesn't equal the quality gain I could have gotten from Byregot's Blessing. ^^;