Overall Katarina is probably a guaranteed include in any Curse or Blurse decks I'd make
I didn't quite manage to get a completely satisfying setup however if you seal most symbol tokens (probably don't seal the Elder Sign but it is an option) but the Skull you could use Katarina to reliably trigger Speak to the Dead which in turn can be used to bring back Call the Beyond which helps keeping Dayana or Seal of the Seventh Sign charged for example. Other good candidates are Blur and Close the Circle but Akachi has Spirit-Speaker so she could already charge them quite easily
The problem is there's no permanently reliable way to bring back SttD but you could at least do so twice with Uncage the Soul. Spamming CtB a lot would also add a lot of curses. I don't think Katarina and Favor of the Moon in this setup have a great synergy but it's still good enough to deserve an honorable mention. It helps keeping the curses in check, actually pays you and lets you gamble for your Elder Sign when you don't want to use SttD.
One option would be to use Dexter Drake and use Katarina to trigger his Elder Sign more often and bring back SttD that way but unlike Akachi Onyele, Dexter doesn't have access to Dial of Ancients it could however be traded with Teamwork. Dayana -> Recharge -> Use Call the Beyond on Dayana or the Dial could keep quite a big amount of the chaos bag sealed with just one trinket. Akachi's increased charge limit also generally makes her a better candidate for CtB
Also SttD can be used together with Sign Magick and Astral Mirror to reduce the action cost while not taking up as many slots.
Lastly you can use Katarina to try to bait out the Auto-fail on turns that are less dangerous to seal it on Dial of Ancients. Dayana but you'll still fail your check so that's only marginally useful.