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EDIT; I can't reply to everyone individually but thanks for all the suggestions! Opiates are out of the question, doctors here will only prescribe those in terms of absolutely extreme suffering or end of life care. I also don't particularly feel interested in developing a hard drug habit. Diclofenac and such are available but also only on separate prescriptions, I'd have to visit another doctor for that. I'm well stocked on paracetamol & ibuprofen, and apart from that, lots of ice cream, pudding & soup :)
Also, since a fair few people seem to doubt the veracity of my story, here's the 22 extracted teeth (the other 10 were already gone in previous extractions).
Not sure what's available where you're at without a prescription, but I recommend Orajel or any equivalent ulcer/tooth ache gel.
In addition to the other things you're already using, you can steep black tea bags in warm water and gently bite on that. The tannins help with bleeding and inflammation.
A mouthwash or spray with Cetylpyridinium Chloride in the ingredients list will help with healing, but don't buy a mouthwash that has alcohol/isopropyl in the ingredients. Dentyl, Oral B Gum detoxify, Parodontax, Biotene Dry Mouth Spray are all good.
I had several teeth removed from my inside my jaw that never came out and had a bone graft placed in the area that had to heal for 6 months before dental implants were placed. The mouthwash definitely helped me heal faster from that surgery than when I had my wisdom teeth out the year before and didn't use any. Just do a gentle rinse dont swish it around hard! You don't want to disturb the blood clots and get dry socket.
I hope you start to feel better soon!