A lot of people get upset when they don't walk out of the office with a prescription for that magic pill. I've been through several pediatricians because I won't give my kids drugs unless I have a reason for it. I would much rather leave with the knowledge that they have a virus and will get better on their own, than with an anti-biotic "just in case". A lot of doctors are not quite sure how to handle that.
It sounds like you have already tried to discuss your feeling on medication with your doctor,and he hasn't listened, so if at all possible find a new one.