There are 4 problems with Wookiee:
1) Bowcaster does waaaaay too much FP damage.
2) Charge does too much damage, and is too safe, with the ENTIRE animation capable of knocking down from start to finish. It is too good of a chase and escape mechanic as well. A good Wookiee can safely kill a Sith using pass-by charges that the Sith cannot swing at.
3) Wookiee slap has too short of recovery, and too long of active time. The Sith barely has any time to actually get close to a skilled Wookiee.
4) Fury is broken against gunners. It is absolutely broken. If you're playing Commander, or perhaps BH, and a Wookiee was hiding around a corner, THAT is bad enough. However, if they then have fury, there is no amount of skill or tactics that could possibly save your life at that point, and that is horrible balance.
The issue with Wookiees is that they are a complete draw with Sith. A Sith cannot kill a good Wookiee without endangering himself, and a Wookiee cannot kill a good Sith without endangering himself. This makes for infuriating kite games that last forever and don't accomplish anything. Otherwise Wookiee is fine, minus fury vs gunners. (Teamwork isn't a fucking solution to bad balance, by the way).
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Cortosis/Magnetic plating, gotta go. Battery mechanic? Gotta go. I'd rather SBD be a relatively tanky weapons platform, and not a solid chunk of iron that can kill you.
I've always stood by reworking SBD to be like an SBD from Republic Commando. Give it a wrist rocket, a charging blast, a fast firing wrist laser, a burst shot, and a tri-shot. Make it tanky (But it shouldn't survive a red swing.)
With flinch in the game, there is no need for SBD or any class for that matter to be as tanky as SBD.