I had similar feelings in an open office. When it got loud, the suggestion was to put on headphones. But, in effect, that was just using more noise to drown out other noise. All I really wanted was some peace and quiet!
The new generation of noise-canceling headphones can block sound without playing other audio. It's not perfect, but it's much better than the "noise canceling" headphones from a decade ago.
The newest cans from Sony and Bose ARE pretty good, but the pressure always bothers my ears after a while, especially when I’m not playing music. There’s no real substitute for a quiet office, other than maybe working remotely.