Well, if you're not getting pain, that's a damn good sign. Loudness hyperacusis can be distressing but I promise you will be ok. There's only a couple cases of loudness hyperacusis who I know who are completely debilitated. I have severe pain hyperacusis so it's much different. My pain hyperacusis needs silence for me to feel bette. The more sound there is around, the more deep, stabbing, burning, aching pain I get. Before my pain hyperacusis got really bad, my loudness hyperacusis was so severe I couldn't touch a bad or flick a light switch, they sounded like explosions. I hate to admit it but sound therapy helped my loudness hyperacusis a lot. I hate anything inside my ears; it spikes my tinnitus every time. I used a fan next to me 24/7 and I improved a lot in certain frequencies. I overdid it and made my pain hyperacusis worse.
My opinion: I would take it easy and just wait and see if your loudness hyperacusis goes away first. If it doesn't improve in 6 months to a year, I would try low-level sound and see if it helps. I do recommend to try and relax because overthinking it will definitely make it worse. The only time I would start to worry is if you start getting actual lingering nerve pain. I sound like a hypocrite for this but if you only have loudness hyperacusis, I do not recommend to sit at home and never go outdoors like some of us. The only reason I do stay home is because one noise will leave me in severe pain for days and permanently worsen me.
I think you have a very good chance at healing. You need to exercise, eat healthy, and distract yourself as much as you can.
Even when my loudness hyperacusis was really bad, I still went for walks at night, had a few friends come over, did things outside, and exercised. It's when I started getting nasty nerve pain I realized it was serious and I needed to stay home or I would continue to worsen.
What turned my loudness hyperacusis into severe pain hyperacusis (noxacusis) was more noise damage, airbag deployment, then a brake screech gave me the deep lingering stabbing pain in my left ear.
Wear earplugs in environments you cannot control.
If you're getting dizzy from sound, I would get more tests done, it could definitely be some vestibular issue. Something else could be going on here.