1/2400 is possible, but f**k its painful and unpleasant.
maybe for battleships, but not for the sorts of ships PC's might tool around in, and certainly not for anything that'd be put on a table for a firefight
Here is what I've cobbled together in 1/2400 scale and that's without the engine section/radiators/fuel_tanks.
the ball tanks and the cargo containers are skewered on a toothpick to stay in alignment... those parts have a 2mm hole for that, and that's too big for the other parts mostly.
You can barely make out the turrets, so at least I know I could do a Battle of Jutland set, this was just too fiddly to be enjoyable.
Maybe a ship that's more monolithic, but something like this is just bleh. My patience eyes aren't good enough for this sort of work anymore.
that's an x-acto no. 11 and the d6 is 15mm on a side.