Leave her for last. After you bait out her heal, she's pretty much a bullet sponge. When it's finally just you vs. Barris it's pretty simple.
If I choose to take her out first for giggles, Luminara and Dooku can keep her cc'd and Sid's ability keeps her from auto healing from her basic. Usually goes down in 1.5-2 rounds depending on crit and stuff.
Try to take down your primary target. If it's not likely you'll be able to get it down before Barriss gets a turn, then either stun her (Dooku, etc.) or ability block her. Eventually she will get her heal off, and then for 5 rounds she's pretty much nothing. Save her for the end.
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If I choose to take her out first for giggles, Luminara and Dooku can keep her cc'd and Sid's ability keeps her from auto healing from her basic. Usually goes down in 1.5-2 rounds depending on crit and stuff.