Personally I’d include the following scenes even if they don’t add up in the timeline.

TCWS7: Cody talks to Rex about how it’s hard being the survivors. This instantly gives us a connection to the clones should a viewer not watched the series and jumped right from AOTC.
TCWS7: Anakin and Padme together, with Obi-Wan revealing he knows about it.
TCWS7: Mace Windu claims to have killed thousands of battle droids. Also him willingly risking his life to shut off a bomb, so we know he is good at heart (PT Windu is kinda a dick) giving his death weight.
TCWS7: The Martez Sisters tell Ahsoka about how the Jedi don’t care about the common people. Adds a lot of depth to the Jedi’s fall, although admittedly getting here would require a lot of cutting down on a boring story arc.
CW03: Grevious Introduction: His speech followed by attack on five Jedi is possibly the best introduction to a villain in all of Star Wars. It also gives his attack on the Chancellor against Shaak-Ti extra meaning. I’d even suggest including the deleted scene where Grevious kills Shaak-Ti at the beginning of ROTS, wrapping up the rivalry.

How to do: Open with the Battle of Anaxes. Short 15 minute sequence containing of some early character moments and then the battle in the fourth episode. Then cut to Ahsoka meeting the sisters and get off Coruscant ASAP. In between Kessel cut to Grevious introduction. After this go back to Oba Diah, cut everything from the third episode except for the Jedi speech and then greatly trim anything not with Ahsoka. This naturally leads into the Darth Maul reveal and the Mandalorians. Then cut to Yerbana and the rest of the edit rolls.