Hmmm, another technique for stronger ships is to only build ships with strategic resources (Elerium, antimatter, etc) for their weapons. A ship with 2 antimatter missles for 32 missile attack can be very potent early in the game. A fleet of such ships can be deadly. You need only research the basic weapon techs in order to have access to these.
If you choose this path, you will need to mine, and mine and mine some more. Plus, you will need to research any advanced mining techniques in order to increase the number of resources (more resources = more fleets). If you research at least the basic defenses, you can design ships to resist the enemy's preferred attacks- with sufficient fleet strength, you can build fleets that will survive battles with minimal loses.
Late in the game, your ships will start to lag in potency, so you need to finish the game early, before turn 200 at least.
People talk about "tall" versus "wide" empires- where you decide to have fewer awesome planets versus many average ones. Using strategic resource equipped ships is the "tall" strategy for your fleets. As you will have fewer, more powerful fleets, you will need to research enough movement tech so that they can cover more ground to counter the numerous, but less powerful enemies.
Worth a try.