I'd like to return to my earlier point about making both the gain and loss of rage faster. I'm not sure what the duration of rage is right now, but if we say it's 13 seconds or more, that's too much for what I had in mind. I'll go into more detail to try to avoid any misunderstandings.
Basically, make a full rage last maybe 6 or 7 seconds. Or even shorter, 4 to 5 seconds? Choosing the right duration is important because too much or too little will make it too strong for low population, and too weak in high population respectively.
The idea being that a wookiee has to select the right moment to use rage, and would attack one or two key targets with it, using rage to amplify speed, damage and defense for the duration of a quick 'poke' at the enemy team. I know a rampage is more what people think about when a wookiee gets pissed, but it's not like everything in these games follow Star Wars rules to the T.
On the flipside, make it easier to gain rage. You could get a full bar faster, maybe add (back?) more ways to gain rage in the first place. So melee wookiees have to do their thing to gain rage, go in quickly, then retreat, preferably rely a bit on their team or have a short enough escape route ready to not die instantly from gunfire or snipers, rinse and repeat.
This could maybe ruin rage wookiees, could maybe make them campier which is a pain in the ass, could maybe make them work better in more situations without nerfing them to oblivion, I don't know. It's an idea. People rarely take my ideas seriously.