I have found a source for thin (about 1/8" thick), high quality plywood. We have a construction materials recycling facility in Pittsburgh where you can buy used hollow core doors for $5 each.
These doors use high quality plywood for their faces. With a little work you can split the door in half recovering just the face material.
I have notes on how I do this on my web page here:
http://trainelectronics.com/LaserEngraver/#A_Source_for_High_Quality,_Inexpensive_Thin_Plywood
Even though I have been using this with my laser cutter it can surely be used for a host of projects.
dave