Heres another idea for a quirk for izuku
Quirk: fables
Basically izuku can create or summon people and items from stories by writing what he needs on paper but sacrifices his own stamina and energy to do so but only fictional stories, For example, he could create Excalibur or summon little red riding hood. Summoned characters have there own abilities and skills and will fallow any order izuku gives however they are like puppets and posses very little sentient as well items and summons durability depends on how much of his stamina and energy izuku is willing to sacrifice as well only character from fiction though there are some example robin hood and king Arthur being chief among them.
Izuku is still very much like how he is in canon if not a little shyer due to bakugou being a bit more of an ass hole not seeing izukus quirk as useful and saying things like how izuku useless without something to write on and how hed only be a liability and due to this most of there other kids sided with him and when izuku gets to u.a. And makes friends with uraraka he starts to open up he would also get along with tokoyami and Koda.