Find a chicken farmer, someone with rabbits or similar as pets. They will usually gladly take it away and often for a few beer tokens!
I suspect your producing shavings rather than dust.....it's perfectly acceptable to plonk in the garden recycling bin.....they can't ban it! I had a little discussion with my local council when on an occasion I added mine in winter to the garden bin. As it's part of tree, they could find no regulation or definition that could stop it being added. We have even agreed that plywood, OSB, MDF is also perfectly acceptable. It took a little discussion, but these days, if I ever want to fill up my occasionally unused garden waste bin they happily take it all away.