the elf prince and a lowlife... A Hamilton au

I basically had this idea in maths class-

its a Hamilton au and in it everyone lives in the elf kingdom where the Laurens family rules, but the next in line to rule is their 18 year old son John Laurens but he doesn't want to be king, he wants to run away with his best friend, Alexander Hamilton who is of a lower class, an orphan who doesn't really understand why the elf prince wants to hang out with a low life like him, but will John be able to escape in time before he has to be crowned?