I am sorry to hear about your problems.
Here is what I understand, you have 2 problems that may be linked.
1. Sinusitis - this may be infective or allergic
2. Asthma - This may be increased by repeated episodes of Sinusitis
To complicate matters - BOTH these conditions can be occur/ be worsened by GERD (Gastric Reflux).
Here is what I would reocmmend, Talk to your ENT about a possible trial of anti-reflux treatment for at least 1-2 months. This may help both the sinusitis and asthma.
Take long term anti- allergic medicine, this can help both sinusitis and asthma.
Finally, discuss with your doctor about how much of your sinusitis is allergic, since as correctly pointed out, surgery will not help much with an allergic sinusitis.
Hope this helps,
Dr Gupta, MD