I think low-tech options simply should be made to run longer, and easier to acquire.
Take an electric cordless chainsaw, and a regular ICE chainsaw. The electric cordless version will not have anywhere near the power, or the longevity, of the combustion-engine chainsaw.
This, coupled with making it easier to create charcoal, should be pretty good, I think. As it is, charcoal is a scarce commodity. You need a charcoal kiln to make charcoal, and even though 3 levels of fabrication isn’t too high and a metal tank can be taken from a vehicle, the need for a welder instantly pushes this into not-entirely-likely territory.
Charcoal needs to be made more accessible. The wiki (that is, the Wiki) says that you can make charcoal inside basically a dirt-sealed chimney. Make it a basic (skill 1) Survival/Construction item, using a log or a pile of sticks/2x4s on a dirt pile to create a “wood charring pile” that one can use a source of fire on to turn it into a lump of charcoal. I think this will basically require that items/terrain tiles can, upon burning through, turn into some other item that is not on fire. Everything else is basically already covered by construction.