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Season 1: Instead of introducing us to Laurel at CNRI and hearing Oliver was alive I would have loved it if they opened introduced us to her in the gym or some type of fighting dojo/Wildcats Gym. The way I envision it is we see her training some basic martial arts moves, the news comes on talking about Oliver Queen being alive, this gets her attention, throws her off, she is flipped down onto the mat.and we see her staring at the tv in confusion.
She could still be a lawyer for CNRI but martial arts helps her quell her anger over what happened to her sister, her boyfriend, her family, and the general idea that Sara/Oliver were cheating on her behind her back.
I always thought that it didn’t make sense that Laurel had to go through a 3 year “island” to finally suit up. Losing Sara a 2nd time and losing Tommy in S1 were no more impactful then her already losing her sister/Oliver/her family before the series began. What she went through off pre-show WAS her island. She already loved and lost in every way imaginable.
Season 2: Enter Black Canary! Crime hasn’t been AS rampant as it was during S1 but the gangs/warlords/kingpins have been slowly raising their forces again. Due to Tommys death and The Hood not being seen since the end of Season 1, Laurel Lance suited up during the hiatus and has been taking down criminals as best she can.
She would be the woman shrouded in mystery for the first 1-2 episodes.
She starts out with her Canary Bombs, she only has so many so she uses them as a last measure (as Felicity/Oliver were used to help tie in Barry, Laurel would help to tie in Cisco and it would be revealed that he created some prototypes for his friend Laurel lance with a no questions asked type deal)
Laurel/Oliver would be playing a bit of cat/mouse for 2-3 episodes, she doesn’t know who Arrow is and he doesn’t know who Black Canary is. Arrow would find out who the Black Canary was and would confront her as Laurel Lance to tell her the usual “this isn’t your fight, blah blah blah” while Laurel would find out 100% that Oliver Queen is the Arrow towards the end of the season, it will be a suspicion that she always had. She would not be part of TA during S2 but would have the occasional team up with the team.
Sara Lance would reappear towards the middle of the season, she would still be part of the League of Assassins having come to town for a kill. She hasn’t seen anyone from her previous life since joining the LoA. Once she encounters Laurel and Quentin, it would start break through to her and she would reconnect with her family/Oliver but know that the LoA would come for her sooner or later so Nyssa would still come in and do her thing. She would still go by The Canary but by the LoA version, it would be something that would bond her and Laurel as they both grew up loving Canaries.
Laurel would probably spend 10 episodes of S2 suited up as she would be weighing her life as a lawyer and a part-time vigilante. Once Arrow comes back she steps back into the shadows towards the end of the season since she would feel the Black Canary was not needed full time.
Season 3:
Now that everything is out on the table, Oliver/Laurel have been working more together. He catches em, she puts em away. She has been getting to know everyone on TA better, her connection to the police is a big advantage for the team and they welcome it. She hasn’t suited up as Black Canary for a while now.
Sara comes back to town at the end of the first episode, she sticks around for majority of the 2nd episode before dying in an epic fight off against Malcolm though no one knows it yet.
Laurel still asks Oliver to get revenge on whoever murdered her sister, when she sees that he would not be able to do so she contemplates suiting up again.
She knows who ever was capable of murdering her sister would not be able to be someone she could easily take down so she seeks out someone who can help her become better: Ted Grant.
Much of this portion of the season stays the same, Laurel throws herself into her training. Oliver goes off to face Ra’s and is gone for however long which prompts Laurel to move up her plans of taking up the Black Canary mantle once again and bring the now discarded TA back together as there is still work to do even if Oliver is presumed dead.
Once Oliver is back, he thanks Laurel for helping the team out while he was gone but now that he is back, she is needed more on the lawyer side, Laurel will refuse saying something like “I am done playing behind the scenes, this city is going to hell and I I refuse to sit on the sidelines any longer”. The same tension between the two of them is still there. Much of the 2nd half of the season is the same, Canaries, Nyssa/Malcolm still happen. Olicity end up leaving like they did.