I think the most hilarious place to put Post-Canon Sokka would have been the university at Ba Sing Se. I think he would have made a great unhinged professor. Also, in true Sokka fashion, he should have completely dodged fame. Momo is more famous than he is.
He wants to demonstrate to the class how this thing called electricity works, so he's going to be bringing in a Firebender, so everybody be cool, we're all friends here... and in walks Princess Azula of the Fire Nation. One-time conqueror of the city. One of the students is currently writing an essay on how her brief rule of the city affected fruit trade. She says she considers the class to still be her subjects as she doesn't acknowledge any pretenders to any of her thrones, but for now you're exempted from bowing and "Your Highness" will do. It's a really interesting lecture.
"Okay, guys - hey, listen up, everyone - I won't be here next week, me and Aang are going to-" yeah right, sure, Professor Sokka knows the Avatar. Except, of course, the Avatar walks in sheepishly and says that Appa might have gotten into Sokka's hybrid crops, and then you all have to sit there and watch your professor chase the Avatar around with a sword.
One postgrad student is specializing in Water Tribe Cultures. She's currently studying the massive cultural shift that happened in the Northern Water Tribe at the end of the war - oh, and Professor, I absolutely know that you're from the Southern Water Tribe, but it's just that the shift started with Master Katara, and of course I don't think that every person from the South knows one another haha it's just that I need to ask her some questions and I thought maybe you could help me write a letter or write a letter of introduction or...
Sokka looks at her blankly and goes "yeah, she's my sister. KATARA!" which is followed by a faint answering "fuck you!" from Somewhere and to the horror/elation of our postgrad, Master Katara bursts in and is promptly beaned in the head with a rock by Professor Sokka. Her brother. her hero and her professor are siblings and currently brawling on the floor.