Or you could give his picture away to someone. I get that you hate him, but I'm sure there is someone who is collecting villager pics or who really likes him and hasn't gotten him yet. It's your game so you can do whatever you want, but it's something to think about.
I don't know if it makes it more likely for a villager to give their pic, but when they ask for favors, go above and beyond what they ask for. They want an ocean fish? Give them a shark. Want a fruit? Give them a perfect fruit. Want new furniture? Give them something that is their favorite style and color (Thonky has a good guide for what to give villagers for their birthday). Also, write letters and attach gifts. I've read something about what villagers like and don't like to read, but I can't remember where.
