White background noise can help. You will probably need to experiment to find the pitch that best distracts you from the annoying ringing.

What seems best for me, is something that doesn't provoke thought. If I was listening to whale song, I'd be focused on whales, not sleep. At night, I find having our dehumidifier and air purifier going, on lower settings, seems to help.

I really miss being able to sit in serene, contemplative silence.