The best way to relieve sinusitis is to find out what is causing it. My doctor does not give antibiotics (unless there is an infection). First, she does allergy testing, then tries to figure out if there are any chemical sensitivities. She prescribes nasal rinses with Singulair which you can google and see this is an off-use for shrinking nasal tissue. Something you can bring to your doctor.
Next she does counseling about lifestyle advising patients to remove any carpets, get an air filter, hepa/charcoal filter vaccuum, encase mattress and pillow in allergy protective covers, keep pets out of the bedroom, and discard all products with fragrance. There is more, but this is a start.
She prescribes multiple nasal sprays. I use Nasalcrom, Astilin, and Nasonex. Most of her patients become symptom free and avoid surgery -- me being one of them ( I had 100% blockage on one side) and in fact was scheduled for surgery which I was able to cancel.
Get to the root of the problem is better than giving antibiotics, and then starting the cycle all over again because the source is not being treated.