I can think of a couple of solutions that you could try, depending on the effect you want and how much trouble you want to go through.
The simplest would be to wear tan-colored tights, possibly painting a light wood grain on them for effect. This won’t create the flat popsicle stick effect, but it will create a wood effect.
If you want to appear flat, you can make piece like armor pieces that don’t curve around your leg, but are jointed at the knee. These would attach with straps around your legs and be flat on the front side, so you would only be able to pose at specific angles. I would do a flat piece for the thigh, a piece for the knecap, and a piece for the shin, though you may be able to lengthen the thigh piece enough to cover the knee without hindering movement. If you can make these pieces line up in a way that makes them appear flat, such as having them able to interlock, that would be best.
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