Every time I open up a GW node and see Barris I'm afraid she'll be zeta'd.

Barriss zeta actually isn't that bad in GW. The problem with Barriss zeta isn't that it's impossible to beat; it's that it's difficult to beat in under 5 minutes. That makes it great in arena but GW has no time limit so you can sit there for an hour and slowly chip away, as long as your own team has sufficient health recovery. You can also send in additional teams so as long as you have a deep enough bench and are strategic about who you take out first, it isn't that bad.

I faced one of these teams a couple days ago on my 11th node and beat it on my first try with Palp (L), Vader, TFP, RG and K2.