What are the best treatments for asthma and allergies? I am using nasonex, spirivia, albueterol, and benadryl (diphenhydramine). Plus doing sinus rinses. Still sick.

Asthma guidelines. If you do have asthma spireva is not an asthma medication, although is sometimes of benefit especially if there is also copd. I cannot tell you what is the correct asthma medication for you. You need to see a board certified allergist for appropriate evaluation and treatment of your entire respiratory system.
Something missing? I noticed that you did not mention an inhaled steroid for your asthma (if it is persistent). This may the the key to your problems. Has your physician considered allergy "shots" if your allergies are severe?