is it possible to get Paploo to go before them?
I honestly don't remember, it's been so long since I did the event. I'll replay it (you can replay old events just for fun after you've completed them) and see what's going on with speeds & initial TM & such so I can maybe give better advice. But as I said, I think you can do it with this group. I had Logray instead of Scout, which made the whole thing a bit easier, but my gear levels were pretty much the same as yours and I don't think my mods were that much better.
In any case, I was getting trashed even with Logray, then I added a 2nd zeta & it all came together pretty quickly. It was obvious right away that things were easier and only took a few tries to finish once that 2nd zeta was on.
I can't take zetas off my ewoks (and I've since added a 3rd zeta), but I'll play the event through just to refresh my memory. Then I can see if I have more helpful advice than dropping a few Omegas & a Zeta you don't have, or getting & gearing up Logray which would obviously delay you quite a bit.
In the meantime, like I said, I think your mods are in the ballpark for what can get this done. As discouraging as it might be, the problem might need more resources than just mod-swapping.