My friend used hardwood sawdust for his horses.
Some claim sawdust removes nitrogen from the soil to get the wood to breakdown.
I use his sawdust mixed with horse poo in my garden. I mix the sawdust/poo with my soil 50/50 and
My CPA friend calls my mixture radioactive dirt. His garden grows like crazy.
I would use a loader to spread out the sawdust and use a tiller, disk or plow.
There is a good chance you may be adding termite food to the soil.
So, I would keep your sawdust away from buildings.
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I had a stump ground. About a month later the soil was crawling with termites.
It didn't take long and stump grindings were gone along with the termites.
I plant flowers in my radioactive mix and people ask what's my secret to growing flowers?