With her speed locked there's no way you've made it to wave 4 without her wasting her two revives either, which means the AoE nukes everyone right off the bat.
Actually, the speed penalty is removed when Zombie revives a toon, so you can have Zombie speed locked without having revived anyone else, then when folks die against Sidious Zombie comes back full power.
That said, my best success (and I have way under geared NS and haven't even beaten t1 yet, just so you know) has been without zombie. There's an event special to give taunt to someone else and then you use your revives from Daka and MT-lead. Zombie has more endurance than the other Sisters in many contexts, but in this one where she can die too quickly and then gets stuck useless forever at 0 speed, someone that can be brought back full strength by Daka can be more useful.
Anyway, The one time I survived t1 Sidious it was MT, AV, OD, Talia & Acolyte. (I would have run Spirit instead of Acolyte though if I had her geared).
You're running a drastically better NS squad than I have, so I can't say if that would work for you at the higher tiers, but you could always give it a shot.