PaladinNO: I have been considering writing something on this mission, because it sure left me dazed and confused with all the options...

The various outcomes are cash, Lina's tank-top, her Baby-Boomer baseball bat, or if you have already done Kerry's questline and got the picture of him and Us Cracks and / or done the Sinnerman mission, you can get her baseball bat and (after a few days) her bike.

I did this mission 4 times, with backtracking, reading manuals, multiple reloads and character editing to get it right.
Let me know if you want spoilers.

To properly get that dialogue option you need to enter Lina's container apartment before approaching the scavs.
I know this, because I did exactly the same thing you did at first - and had to fight, no matter what.
You'll need to climb the containers at the back (double-jump legs are a huge benefit).

When you see the scavs at the stairs, go around the back and look up. You'll see a ladder hanging out of reach (ladder can be dropped once you get up there), that's where you need to go without getting noticed.

Then you got the option to use the access panel by the ladder (requires Technical Ability), brute force the door (requires Body, don't know how much), or the access panel on top of her apartment (no requirements).

At this point you can look around inside her apartment, read her email, access her PC etc. I didn't see any stat requirement, but if you hack her PC you can change her schedule, and then you can go back (don't get noticed) and talk to the scavs by the stairs.

PaladinNO: And you read her email and scanned everything inside her apartment, having at least 2 interactions with Johnny, and hacked her PC without getting noticed or approaching the scavs beforehand?

In that case, just do the follow-up objectives of "cleaning up" (putting their bodies in the nearby dumpsters). This part I haven't tried (tried, but I reloaded), but do that and then wait for Lina upstairs. It supposedly doesn't matter for the final outcome.

PaladinNO: Which scavs did you tried talk to? The ones at the bottom of the stairs? And after getting into Lina's apartment without getting noticed on your way up or down?

Also, the whole quest trigger related to this seemed very directional to me, as it felt like I had to get right up into their faces before the non-combat option showed up. The option to fight them came up from a further distance, and at a wider angle.

PaladinNO: And you read her email and scanned everything inside her apartment, having at least 2 interactions with Johnny, and hacked her PC without getting noticed or approaching the scavs beforehand?

In that case, just do the follow-up objectives of "cleaning up" (putting their bodies in the nearby dumpsters). This part I haven't tried (tried, but I reloaded), but do that and then wait for Lina upstairs. It supposedly doesn't matter for the final outcome.

andyjacksongog: I just killed all the scavs and went to apt, then waited at the chair and when she came home the option to say they were like that when i got here was used. No negative reaction from her.

PaladinNO: I know of that alternative, but I didn't want to risk it considering that mission is a real rabbit hole.
It got so many tie-ins to other missions, the whole thing gave me a real headache.

I see now the Street Kid lifepath also gives an option here, to make the scavs leave without a fight.

Honestly, I'm surprised the mission didn't give us the perfect outcome by searching and finding all the clues in the holding room adjacent to Edgar Tool, and then presenting Lena with that evidence during the second part of the mission, when she's supposed to record a video with Edgar.

The outcome I would like that to be:
Edgar got his memory back, Lina was thankful to us for giving her the opportunity to leave Dogtown through the successful recording, Edgar was also thankful for giving him the chance to record a video with Lina Malina - and this would give us the Malina-mobile bike, the Baby-boomer bat, her tank-top and money from both Edgar and Shank.

But instead the evidence and potential positive outcome of giving Edgar his memory back is completely disgarded.

Also, playing as Corpo, you have the option to make her agree to a shoot without paying her anything.
If you want the bike (it's a good bike, but got no rim glow), remember to answer "Tell him that he's your sister".

I never got the option to contact either Viktor or Judy though, despite having completed Judy's questline (got both her muff and her shotgun).

andyjacksongog: I play as Nomad and I got her to agree to "audition" for the role claiming to be a movie producer, cast out Rachels name (Sinnerman BD producer) and she agreed to come for free. Also got the bat I think at the door where the audition was.