So the crew had the idea to use the ships tractor beam against a few squads of stormtroopers to toss them out of combat, etc. What do you all think of that?

Sure. Gunnery check with a Setback die or two due to the improvisational nature of the weapon with the difficulty set by the Silhouette difference between what the tractor beam normally grabs and the stormtroopers (Sil. 1). The "damage" would be the rating of the tractor beam plus Successes x10. Instead of causing Wounds, if it succeeds it shoves or pulls the stormtrooper(s) away.

That sounds about what I was leaning towards . In the end, they decided on another tactic, but I will remember for next time.