Can you get rhinoplasty (nose job) and surgery to help your breathing at the same time? ?

Well, first let me say I've always wanted rhinoplasty and have recently been seriously considering it. But I have horrible breathing problems. My nose is ALWAYS stuffy, one side would just get completely clogged up and blowing my nose doesn't help, and I have HORRIBLE post nasal drip that is a pain and causes me bad breath. I've been to my ENT doctor dozens of times and he said my septum was only slightly deviated so it isn't what's causing the problem. He's given me many different sprays and pills and NOTHING works, sprays just give me nose bleeds. My question is... If I wanted rhinoplasty is there a way they can also make my breathing better? Maybe open up my air ways and do something about the cause of the nasal drip? And if the rhinoplasty is not only cosmetic but medically necessary to help my breathing will insurance cover a percentage of it?