Good question about the wood ash. We have a good collection of it too and I was wondering how it would mess with the soil acidity.
Or should we just dump it in the woods?
I would add it to my compost file, versus directly to my garden beds. Thin layer of ash, layers of browns and greens. Water. Repeat. Let cook down.
Wood ash is mostly nitrogen, so apply it directly to areas where you are growing crops ABOVE ground and NOT root crops.
Wood ash would be suitable for an asparagus bed, greens such as lettuces and chard and collards, etc. Avoid it for carrots, beets, potatoes, onions, etc. You’ll get extra top growth but your ‘roots’ will be wimpy.