I used Aciphex with good resolution of my acid. It was as good as Nexium for me. Of course none of the acid reducers stops reflux. They just stop production of or neutralize acid. From my experience there are usually triggers for reflux.
Sounds like you may have sinus headache, maybe from infection. The symptoms you describe are what happens to me when that happens. I used to get lots more, but I did two things. 1. I get antibiotics (infrequently now) to cure the infection. 2. I saw an allergist who said I was having way too many sinus infections and tested for allergens. Some of my allergies are from foods. For some reason the allergies were causing me to get sinus infections.
I did two things to get rid of the allergies: 1. I started on shots for the usual stuff like mold and tree pollens. 2. I found out what my food allergies are by keeping a food journal. I mostly stopped my refluxing by not eating my trigger foods.