Don’t take this the wrong way, CPCG, but I suspect OP is looking for more specific recommendations given that she’s tried a French link eggbutt and at least one other double-jointed bit. And it seems a little odd for a kid who’s elsewhere described herself as having little equestrian experience outside of lessons to have enough experience solving contact issues to have meaningful advice to offer on such a tricky problem.
There are a lot of really smart and experienced folks in this forum and you seem intelligent enough to be able to make helpful contributions where your experience allows. But you should also be aware that people sour really quickly on posters whose posting history and implied expertise don’t add up. I’m sure you mean well, but this particular forum doesn’t respond well to poseurs (see the maestro thread for evidence of this).
Also, since you’re posting in a dressage forum, it might be helpful to know that ‘snaffle (not harsh)’ is essentially a given for a horse that’s not yet comfortable in the contact, and that most dressage riders prefer to solve issues through training and would not consider even a difficult horse to ‘need a strong bit’, especially when the goal is confident contact.
As for OP, my fussy mouth horse isn’t an OTTB, but I didn’t find the expensive KK Ultra much more inviting than a cheap stainless steel knock-off lozenge bit, fwiw. My horse’s biggest improvements have come from progress in my own riding, but if I ever do try again to find a bit she hates less the last thing on my to-try list is a Myler.