Thought I answered this one but I don't see my response....I was checking back to see what others have said....
Could it be a viral infection? that won't respond to antibiotics.
Could the doc do a culture of any fluid from the ear to see what (if any ) bacteria you are dealing with (to better choose the antibiotic)
Could it be an allergic reaction? Did anything change around the time the infection began? new food, pet, soap........
I have seen something called "ear candles" in a health food/remedy store but have never used them.
It is ok to give tylenol or motrin for pain while the antibiotic works; just know that it will not cure the infection.
Sorry I seem to have more questions for you than answers, but maybe this will give you something to discuss with the doc. Good luck!