Just noticed on another forum that the latest Issue of Wargames Illustrated (No 421 Jan 2023) has a suplimentary 32 page set of trireme era rules called Thalassa, so if you are still looking for the right set of rules might be worth getting hold of a copy of WI 421.

Thanks Pierre the Shy

I've had a quick look here https://www.wargamesillustrated.net/gaming/thalassa/ on the WI website

Having several crew slots on each ship with various options and keeping track of crew loses and partial damage on each ship makes this look like a skirmish game

I'm more interested in large fleet actions