Hi Ali, I'm so sorry to hear that some of your teeth are abscessed. That's really awful news. It sounds so stressful to have to determine the best course of action with so many issues to consider. I'm not a dentist, but I can tell you a bit about my own experience. I have both ATN and teeth that have been abscessed and have needed dental work or extraction. I lost my upper back molars on both the left and right side within weeks of each other due to a fracture on the left where the tooth was broken completely in half and abscess/fracture on the right. The tooth on the left was extracted under duress and was hell on earth. That said, once the tooth was out and the extraction site started to heal, my pain decreased dramatically. While the ATN pain remained, it became clear that the infected tooth was contributing significantly to my pain in general. I never had any pain in the molar on the right side despite the evidence of abscess and that extraction was a piece of cake as was the healing process. I never questioned why that particular tooth didn't hurt but think I was just really lucky. Perhaps it just hadn't started to hurt YET.
For what it's worth, as someone who has been down this road themselves, I absolutely agree that if the teeth are showing strong evidence of abscess, they need to be removed if root canals are not an option. Untreated abscessed teeth can lead to far more serious conditions, including death in very extreme circumstances. My dentist described the need for the extractions as unfortunate, but unavoidable and necessary for my long-term health.
In terms of healing, I found gently swishing with warm salt water to be very soothing. Using ice packs to control the swelling also helped me. I'm sure your dentist will give you an instruction sheet to follow. On a side note, I have noticed that my ATN usually escalates for a few weeks after dental work but once that calms down, I am much better off than I was before the work was done, so there's a chance you might experience something like that as well.
I will be sending you tons of good thoughts and wishes that you will have a speedy recovery and feel much better once this is over.
Take care,
Chris