We would still need to establish that Leia has unfrozen Han, I think.
How about this:
-Crawl establishes that Luke is completing his Jedi training in isolation, leaving Leia and her allies to attempt Han’s rescue alone.
-Vader goes to the Death Star.
-Establishing shot of Jabba’s palace at sundown.
-Leia wanders through sleeping fortress, unfreezes Han.
-Sinister laughter from Jabba. “I know that laugh.” Cut to black.
-Indeterminate shots of Dagobah, darkness of the cave in the swamp. Voiceover from ESB. “Friends you have there.” “They were in pain.” “Decide you must, how to serve them best. If you leave now, help them you could…but you would destroy all for which they have fought and suffered.” Reveal Luke in a cave working on a lightsaber. He does not activate it.
-R2 emerges from crevice on Tatooine. “We’re leaving? But what about master Luke? I thought he was going to rescue captain Solo…You mean we’re going to that horrible fortress…alone?” Cut to the theatrical version “Of course I’m worried, and you should be too. Lando Calrissian and poor Chewbacca never returned from this awful place.”
From there we can have the droids delivering Luke’s message, just cutting the discussion about Han still in Carbonite. We have the droid torture scene, the baroque recital, the Rancor tease, then Luke appears.
The biggest trick with this would be to have the voiceover and Dagobah imagery without it feeling fanedity, but it’s simple enough and includes bits of an actual ROTJ deleted scene so it shouldn’t be too bad. This version also makes more sense of the dialogue that Chewie has already been captured, so we don’t need the extended scene of Leia dragging him in there or the reveal of Lando among the guards. Seeing that Luke is working on the saber implies that he needs more time to finish his weapon, sending the droids in first. Later when we see that R2 had the saber the implication can turn to one of Luke wishing to avoid a full confrontation until absolutely necessary, a necessary step on his Jedi path.
JEDIT: Alternately, one could put Leia’s failed rescue first, following it with the Vader arrival at the Death Star and then the shot of Luke in the cave before moving to the droids. You would just need another pan-down to Tatooine, and it may feel strange not to have a Star Destroyer opening like is a tradition from the first two films.