[color=66ff00]Why specifically wood? Balsa is quite porous and has a fairly noticable grain, it tears to bits if you attempt to work it against the grain. If I were going to attempt this I'd use either card, corrugated cardboard or styrene sheets. These materials are both easier to work with and they finish well. If I were going to build this I'd use thin, stiff cardboard.
The model itself is quite straightforward if you intend to build it 100% accurate to the game, it is afterall composed of planar faces and there's not too much detail there.
I'd highly advise prototyping in any case, build it from light card, no detailing first. This will give you an idea of how the structure is composed and how big you should build it. Unless you've successfully done something like this before you shouldn't expect the first one to be perfect.
Sounds like a fun idea anyhow.

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