Here’s a little idea, I don’t know how valuable it would be, but it might be worth thinking about:
You could potentially move Padmé’s early conversation by video with the Neimoidians on their bridge to when she’s on Tattooine.
During the “The death toll is catastrophic”/“It’s a trap, send no reply” segment, you could follow that up a short time later with Padmé’s “The Trade Federation have gone too far this time” - and then follow that with the launch of the probe droids and eventual attack by Maul.
Does that make for an interesting throughline?
Sorry, but I don’t think that would work. Aside from what Peter Pan already mentioned about Padme not being on her ship at that point in the movie, the video call scene is too closely tied to the beginning of the movie for it to work anywhere else, and it seems a bit weird that Padme would reveal her location to the Trade Feds just to taunt them. It’s an interesting idea, but it probably wouldn’t work in practice.