Good question!
Wood chips themselves are too high a carbon source for most things to grow well in them. Also, the big particle size does not hold water real well. Additionally, some trees are allopathic, which may still be present on fresh wood chips. If I were you, I would try to find a nitrogen source (could be food scraps from restaurants) and then mix them with the wood chips and
compost that mix. When the mix particles are fine enough to look like store-bough seedling mix (you can sift it), then it would be ready to start planting seedlings in. Because you may be getting your nitrogen from a variety of locations, I would check your batches of compost with one of those mini chemistry soil tests for the basic nutrients and pH, then add amenities accordingly. Basic soil tests do not list Calcium or Magnesium, though often times I believe (since they often mess with pH) you can tell based on the pH and content of the mix. If the pH is low and you didn't add a source of Calcium and Magnesium, you probably should. Common sources are egg shells, oyster shells, sea shells, dolomite, calcium carbonate, agricultural lime (different than builder's lime), milk, bones, and some plant accumulators if your soil is already rich in those nutrients. If your planting medium is plant-based from healthy plants, then you can assume most of the other micronutrients are there in sufficient quantities.
Now, you say composting is difficult there - why? Is it a totally in-door facility? If that's the case, perhaps you can vent the pile to the out-doors?
If that's not possible, perhaps vermiculture can help you out? I'm not a vermin person, but maybe you can collect recycled paper instead of wood chips, and then let the worms take care of it? Then you could have a worm and seedling business?
If the wood chips are fine enough, you could add some in to another mix in low enough quantities that it won't sap your seedlings of nitrogen, but for the 10-20%, I can imagine that being, that would then result in you having to add more fertigation to the seedlings for them to get large and beautiful, I can't imagine it paying off.