Kind of late, and you may have already beat the boss, but I recorded my own kill of NG+ Fume Knight (took a while because I hadn't even started Earthen Peak yet yesterday on this character!). I did it on my 40 dex/50 faith build with light armor and 10 vit, 105 agi at SL 217. I would normally use more spells (clear bluestone ring was a pretty big waste here!) but I wanted to mostly have my character set as yours would be so you could see what I would do, so I kept my weapon 2H the whole fight and just used that.
My video shows what I was talking about in regards to the rolls, how you want to roll towards and behind him. Also shows how if you are close enough, his big sword attacks will sail over your head. Also shows what I think are some good Estus spots where you have time to heal, as well as some terrible Estus and dodge fails, especially in phase 2. I tried to extend phase 2 so I could show how to dodge all his attacks, I think he did all of them. This fight is definitely not perfect, but I am pretty sure I successfully dodged all his attacks at least once, and I don't think I was ever in super imminent danger of dying.
Two interesting things. One, I am using light armor and have 10 vit, 30 end, 40 vig, so my defense is very low. But like we talked about before, it really doesn't seem like I took a ton more damage than you did in your video in full Havel's armor. Hard to compare though, I do still feel safer in heavy armor. Another thing, it seems that Fume cannot go into phase 2 while his sword is glowing red (after he does the overhead strike). That is why I got him so low during phase 1. I guess you could exploit this by baiting his overhead to prolong phase 1.
Hope this video helps in some way! Here it is:
https://www.youtube.com/watch?v=iKXQA_xIY4Y&feature=youtu.be