Not sure what the current status on your Snoke scenes are, but I had some ideas for them.
As it has been said in the past, it is strange for Kylo and Hux to return to Starkiller in the middle of their hunt for the droid. It is hard to keep both scenes while maintaining that logic, but I think there is a way to have two separate scenes though and have them both placed after Kylo Ren has captured Rey.
First, the initial Snoke scene could be placed where the Rey interrogation is in the theatrical version. I know most people prefer cutting the Snoke reference from Han and Lela’s conversation, but it would be a little appropriate to hear this brought up right before we are introduced to him for the first time. I’ll share the script for this edited scene and go into it more.
Snoke Scene 1-
EST. - TIE Fighters fly toward Starkiller Base.
Hux (line from scene 2): [starts on est. shot] Ren believed that the girl was all we needed. As a result, the droid has most likely returned to the hands of the enemy. [Over CU of Kylo looking up at Snoke] They may have the map already.
[a helmeted masked-Kylo head will be needed to replace unmasked-Kylo in one shot, as well as back of head in another]
Snoke: Leading them to the last Jedi. If Skywalker returns…
Hux: Supreme Leader I- (maybe have Hux interrupt before we get Snoke’s big close-up, “the new Jedi will rise")
Snoke: GENERAL! (I’m trying to keep this because he sits down later, so we need to see him stand up for continuity.)
Hux winces [start the following Snoke dialogue during this shot-maybe slow down shot slightly]
Snoke (line from scene 2): [Then] the Resistance must be destroyed before they reach Skywalker.
Hux: The weapon. It is ready. etc. etc.
Scene continues as is, but cut out “The droid we seek is aboard the Millennium Falcon, in the hands of”. He just says…
Snoke: There’s something more. [cut to Kylo] Your father… [cut to Snoke] Han Solo. (We already know this fact by this point)
Scene concludes as-is.
First of all, the scene works better here because “the awakening” is now more clearly when Rey touches the saber, which now takes place before this scene.
What else I like about this scene is that the discussion on Han is a little recontectualized in this situation. Did Snoke hear that he came close to encountering Han on his mission? Could he sense Kylo’s feelings? What test is Snoke referring to exactly? Now that Han is involved in this quest for Skywalker, is this resurfacing a test Snoke once put before him to prove that he could do what Vader could not, an inevitable choice he knew he would eventually have to make?
This fear of being seduced by the light ties into his anxiety Rey senses during the interrogation we’ll see in Kylo’s following scene, that he’ll never be as strong as Vader was.
Snoke Scene 2 -
Snoke: The scavenger resisted you??
Kylo: She’s strong with the Force. Untrained but stronger than she knows.
Snoke (from scene 1): Our strategy must now change.
Kylo: Supreme Leader I can get the map from the girl. I just need your guidance.
(mask out Hux walking away)
Snoke: If what you say about this girl is true, bring her to me.
Pretty straightforward. Basically just swapping out a line and cutting out Hux. Now this scene does just enough to serve its purpose. Anyway, just some thoughts.