First thoughts: The Elysium's gun does look kinda neat, but needs a better charge-up effect. Dps, firing arc, and the two shot limit are all obviously subject to change, but even without that main gun it makes a pretty solid broadside destroyer if you mount heavy blasters. The AI fairly obviously has no idea what to do with the ship system... but with its main firepower in the broadsides, it actually kinda sorta almost works anyway. Amusing to watch, at least.
The Sargasso is, compared to other destroyer scale carriers, surprisingly capable. ...Which means it can maybe fend off a frigate long enough for reinforcements to arrive. But it's also decently zippy; it'd get a place in any fighter-based fleet I put together on that alone. Haven't tested the ship system out much; can't comment on that yet.
The Inanna is interesting, fairly powerful, and most effective if you just rotate your keybinds and think of its left side as the "front" - bind strafe left to 'w', forward thrust to 'e', etc. And remember to never, ever, use shift-to-aim.
The Shamash is a surprisingly potent ship; it's no Hyperion, but it's not too far behind. Wasn't able to get much use out of the ship system, but it hardly needed the help.