I usually like to play with no trees, but this time I'm glad I set it to 17%.
You will need 150 tech cards (20 for automation core, 30 for crusher, 50 for stone processing, 40 for the greenhouse, and 10 for basic fluid handling for the offshore pump). With 5 wood per 5 cards, that is 150 wood.
You will also need power poles to connect the ship reactor to the ship lab, which on my map took 4 poles, so 2 wood. You will also need to power the offshore pump and greenhouse, my map took 20 poles, so another 10 wood, but might be different on a different map (in a pinch you can probably do that with a single wind turbine and suffer through a long first cycle).
TL;DR: The simplest solution to this seems to be providing the player with single stack of 200 wood, probably in one of the initial starting chests. This strikes me as pretty easy to code, and also not messing with the balance.