Use whatever you have...
Do you have a router? You don't need a table for it. If so, try a 1/4" spiral bit using a straight edge to guide the router, keep the router in good contact with the board and straight edge, work at a good speed and don't try to take off too much at a time...1/8" or less. Clamp everything down good. This also sounds like a good time to become savy with a jointer hand plane and no dust flying around, also nice and quiet! Well tuned table saws with a good blade work as will a circular saw using the above mentioned straight edge and a good blade. Check some of the wood working sites for thin kerf planer blades and some hints. Many moons ago and no resources, I built a kayak and laminated paddle with only a circular saw...it works.
Best of luck...
Ric Altfather