I’ve previously posted on using 1/3788 miniatures for roleplaying games where you have only 2-3 ships on the board at any given time.

For some sort of mass warfare scenario with lots of ships, I would move over to 1/7000 scale. Some example vendors:

The ships are kind of small, but on the other hand they have built-in bases, are quick to paint, and don’t require the fine details such as the decals you’d be using with 1/3788 miniatures.