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We used a 'drag', which was a couple of really big angle irons set with cleats along their outer surfaces. They were attached to cables and spaced about a foot apart. We dragged it behind a tractor, but you could scale it down.
A coat of cinders from the coal furnace worked well when I was young. I still use ash from the wood stove the same way as you. Works great and I'm willing to live with the paw prints tracking into the house ... I'd need a lot to cover the area I groom around the house. There's another 3km of trails @ 6' wide I need to groom.
Get those ice cramp-ons for your boots.