A friend of mine just let me in on a technique he’s used for tooth pain in the past that might help some of you.
What he does is puts a pain pill (can probably be anything, though he used Ibuprofen) in his mouth, chewed it up so it was kind of a powdery paste, then packed it into and around the affected tooth so the pain killers went straight to the site, as opposed to waiting for it to go through the bloodstream and getting diluted along the way (assuming the medication ever gets to the site, seeing as how an abcess can sometimes restrict bloodflow).
Hope it helps someone.