I think I understand why you're going for CTR on Brandishes and ASI on Flourishes. But you end up with ASI+4 on the FF and only ASI+3 on the other weapons.
If possible, you should aim for +2 UVs because then you can max things out better. But then they are more expensive (because everyone thinks this way). For PvE, don't bother with health trinkets. Just go for even more offense.
It's a nice loadout. If you wanted to mix in some guns, the obvious choice would be alchemers, whose charge attacks are pretty powerful.
Edit: I disagree with Orbwanter about FF/BTB charges. FF's charge is just as good, in my opinion.
Blitz Needle or Barbarous Thorn Blade are worth considering over the flourish if you really want to squeeze every drop of value out of the chaos set's CTR reduction. BTB's a lot tougher to get a good UV on, though.