The glue will stick like a mother to that wood, be sure to slip a piece of plastic like plastic drop cloth painters use to protect the floor and furniture from drippings, the glue will not stick to the HPDE plastic very well and should just peel right off.
In fact anywhere you think the glue will come in contact with the wood I would isolate the wood with a sheet of plastic. A garbage bag will also work.
In fact anywhere you think the glue will come in contact with the wood I would isolate the wood with a sheet of plastic. A garbage bag will also work.