I finally managed to do it with a Jedi team using Shaak Ti and Jolee Bindo with a JKR lead. I used dispel every chance I could and took out the scavenger right away. Even with playing it safe over half of my team still died. I was lucky to still have Jolee Bindo use a clutch res which allowed me to outlast the rest of them.
Nothing about this challenge is fun. It was annoying and aggravating. Beating it felt like a letdown instead of an accomplishment because I don't have the option to kill the Jawas in combat. Being forced to dispel and lay low the entire battle isn't strategy, it's a tedious education in discipline.