Alright, I know this sounds crazy, but hear me out:
Tridents are slow, turn slowly and have a very long replacement time. To make up for this, they have a reasonably tough shield to sponge damage with.
I find that while using them, they die fairly often after they release their payload since they can't turn around fast enough and get killed. Before their buff to 20 OP, I mainly used them in battlecarriers since they'd take off, instantly fire their torpedoes, and return to their carrier without moving around all too much, negating their downsides. Now? They're in a much better place, but I still have issues using them in carriers that aren't the Astral (which completely routes around their downsides by sucking them up once they lob their missiles).
Perditions have similar downsides to the Trident, but unlike the Trident, they're made of glass and die immediately to nearly everything. I haven't managed to find a way to make these work effectively, honestly.
My proposal: Give these guys a mobility ship system. Give it one charge, and mess around with the AI to make them pop it after they release their payload on the target. This wouldn't make the initial strike faster, just the retreat "phase" of the attack.
For the Trident, it's Plasma Jets. Call it something like a one-time-use temporary "plasma injection" system the designers built-in to the Trident to get it out of there.
For the Perdition, it'd be Maneuvering Jets. It's, in-lore, a converted cargo shuttle, surely it'd have thrusters for fine adjustments while ferrying cargo. Let's say that the Luddic Church/Path added a reserve tank of propellant during the conversion process to give these thrusters a boost when it needs it the most.
Now, the Cobra also has poor manuverability, but I think that's pretty flavorful considering it's huge and literally carries an enormous antimatter nuke.