I'm going to tackle E-6 right away. Things were smooth on my side thanks to RNG. Here is what I used at the moment, assuming your fleet is big enough to allow that:
My ship schedule ! (yo E-6 is false yo)
E-1: Bring Kikuzuki for laughs & branchings. (A-D-Z route, 1 battle, 1 rsc node.) Support fleet if needed/if you want the easiest sortie possible.
E-2: 2 BB/2 CA(V)/2 CVL + 3 DD/1 CL/2 CA (A-B-E-G-Z route, 4 battles including a sub one) works rather well. Given you literally have no enemy carriers on this route, load bombers on the way and wreck everything. Hard last dance can be tricky, but nothing impossible.
E-3: Bullshit map. Medium has the Hard enemy comp as last dance. (2 CV Onis escorting the boss) 2 BB/2 CV/2 CVL/ + 1 luck DD + Akizuki, Maya, Kitakami, 1 CL and another DD can do the work. (A-C-E-H-Z route, 3 battles including an aerial exchange node) It's RNG heavy here so don't hesitate to go full support fleets to help you out.
E-4: Cleared it in Easy. Medium was already too bullshit (yet less sanity draining due to rsc loss being way less hard on you). Kongou+Haruna or Kirishima+Hiei/ 2 DD/1 CVL full Reppuu/1 CA(V) can make it.
Ta double line becomes Ri double line, and double red-glowing Takoyaki wo become double weak elite wo. Big difference between medium and easy.
Go to yasen nodes for final since it becomes slightly easier. Don't forget support, it can easily bring down 2 or 3 ships. (they are rather weak)
B-D-F-H-Z route prefinal and B-D-E-G-Z route final.
E-5: Far, FAR easier than the 2 last ones. Akitsushima/3 CA(V)/1 DD/1 CV can easily make it, you don't even need BBs. This comp is thus rather cheap to deploy and can be spammed for farming. (ROMA/YUU DROP HERE APPRENTLY SO YES..... FARM THIS MAP)
E6/E7: CLTs are banned from E6, you will go to a dead end right away if you have one. I don't know about E7 however.
It's been rumored that killing Wo Kais and Installation boss in the same map before facing AD Princess can lower her armor.
So far I can tell that E-3 and E-4 are complete hell and should be avoided in higher difficulties if you don't want to waste too many buckets for nothing. Rewards aren't that great compared to the stuff we had in Spring. (No BP ships it seems this time)
Hope it helps.