This HighFleet guide explains how to Unlock All Ships For A New Game.
Just go to your save folder (\\Steam\steamapps\common\HighFleet\Saves) and find file Profile.seria.
There will be many lines, that looks like this:
Just change 0 to 1 (no space afer | symbol ), and you will have more ships (also capital ships) availible for your new run.
We would like to thank Darth Silent. He is the one behind this wonderful guide.