With all the Ascendant live I had an idea
Ascendant au where Inko and Izuku's bodyguard actually managed to essentially sell Izuku. Whatever happened to Inko during this is up to you!
1 - Chiyoh manages to grab Izuku and he is sold for an incredible amount of money. He is forced to cooperate because his mom is threatened. If he doesn't take and give quirks like his "owner" asks him, pressure will be put on his mom. A few miserable years ensues where Izuku can only interact with his mom through short phone calls and even shorter videos. The number of quirks Izuku has is strictly monitored. He is a prisoner. But the problem is that those people don't have Inko. They never managed to grab her. The Inko Izuku is trying to save is something with a shapeshifting quirk.
2.A - Izuku is 13 when he finally secures the right to visit his mom for a short time. All the precautions are taken. Even Chiyoh is asked to come back from retirement in order to confirm that the disguise if perfect.
2.B - Izuku takes one look at his mom, smiles at her, then steals both the quirks of the armed guards and hers. He almost dies as he escapes the compound in which he is imprisoned but he does get out and eventually makes his way to Japan.
3 - Inko has a new life where she is working with two associates (cough... Lady Nagant... Cough...) and fighting a war against quirk trafficking. Her associates know that she has an informant that always has the best intel.
4 - Izuku probably believes that his parents have been killed so he is on the run of everyone who has ever received a quirk for him or got their quirk taken by him. Not his former employers, though. They didn't make it.
5 - Izuku gets into UA but as a Gen Ed student. He is very tired of being on the run and had decided that he needs a network of people he can count on. Unlike what happens in Ascendant, he is now ready to deal quirks in exchange of favors.