Time for the $99 solution. What is that? A Chase Technologies RC1 pre amp with remote control. It has balance control and much more. These show up on eBay from time to time. Worth the try. I know the unit might not be audiophile quality, but hey, try it and be the judge. If you don't like it, back on eBay it goes, maybe at a profit.
Lastly, your hearing aids. I have been a wearer for many years. Please go back to the audiologist that fitted them and explain your problem. Most will work out the problem. I have volume controls on my units and they are digital programed to exactly fit my hearing loss, which of course is different in each ear. I have a three programs in the aids, one of which is set up for music. A joy to have.
Lastly, your hearing aids. I have been a wearer for many years. Please go back to the audiologist that fitted them and explain your problem. Most will work out the problem. I have volume controls on my units and they are digital programed to exactly fit my hearing loss, which of course is different in each ear. I have a three programs in the aids, one of which is set up for music. A joy to have.