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The best material for scenery bases is :http://tri-dee.com/sintra_plastic_pvc.htm (Canadian site but the stuff is available worldwide)Lightweight, does not warp and cuts simply with a craft/stanley knife leaving a clean edge. You can also chamfer the edge to a slope for tree bases etcIt is used for display and advertising boards by lots of industries, the last lot I picked up for free were paint faded house "For Sale" signs from a then local (UK) estate agent.
I agree with the 3mm plastic card or PVC sheets - try sign-makers as they often have off-cuts.Tony