Could they dig or melt a tunnel to the wood? If the snow were melted and then refroze as ice at the bottom of the tunnel, one could then slid the wood back to the tunnel entrance...
Hardship breeds creativity. Necessity is the mother of invention (except under excessive government intervention, which may be at the root of reservation problems).
Maybe if we could calculate the present day market value of all the land the US government stole from the Native Americans (I've heard we broke nearly every treaty we signed with the Native Americans... to our shame), that could be structural payments to encourage entrepreneurial activity on the reservation