Your problem has its origin in the malfunction of inner ear
. Inner ear assists our body in keeping balance and is in close proximity to our hearing apparatus.Your symptoms are suggestive of Meniere's disease. Tests of hearing also are part of the work up. Unfortunately there are not many good tests of balance which definitely assist in the treatment. You can discuss with your ENT specialist
regarding the utility of the tests that he wants to do.
As for as treatment is concerned, avoid triggers which you already have realized. During periods of dizziness
many medications can help. If problems persist in spite of that then there are surgical options available.