You have had unilateral hearing loss since birth. You have been to doctors. Has a doctor ever suggested you try hearing aids? If not, I'm wondering why.

Hearing aids do control volume. I always advise people to make sure hearing aids they buy have a manual volume control so you can determine the volume. Some have auto controls, which sounds more modern and wonderful. It isn't.

Again, what have you tried?

I too have unilateral hearing loss. Deaf in my right ear (always unaided) since birth and near normal hearing in my left ear, until my 20's. Was fit with my first hearing aid for my left ear in my late 30's and then 40 hit with a more noticeable drop on the left. My audiologist suggested a Phonak bicros system.
Traditional hearing aids send sound into the ear they are sitting on. With a CROS set up, the device on the non-hearing ear looks like a traditional hearing aid. But “it is really a microphone and transmitter and is picking up the sound to send it to the hearing aid on the better side.
It is not a perfect system but it does allow me to have a little localization. Conversations with one or two people are much easier to participate in. Large group conversations are still a challenge. Listening to music in the car as the driver is the best thing ever! lol - when I am a passenger, I often take out the receiver in my right ear and just use the hearing aid in my left to cut out the road noise.
My current system is almost 7 years old. I am exploring brands now to see what new features are available.
Cochlear implants are now available for single sided deafness, but I have not done much research on this.
Lisa