My brain can't handle feeling sound pressure on my ears from the ANC, but not hearing the noise because the ANC canceled it out. It gives me a really wicked headache.
I have to have something playing all the time I'm wearing the headphones, which is a problem because that can be a distraction in and of itself.
Now I wish my work wouldn't suck so I could actually use all the focus I get this way :)
The headphones muffle outside noise to some degree and add music to drown out what they can't muffle. The earplugs create an end result of just muffled music, which is basically white noise if you pick the right type of songs.
The only downside is that earplugs can get uncomfortable after a long period of wearing them.
I use some Sennheiser PXC450 over-the-ear NC headphones; they work pretty well for noise cancelling and provide decent noise isolation too.
Link to the DT 770 Pro: https://north-america.beyerdynamic.com/catalog/product/view/...
Link to the DT 770 M: https://latin-america.beyerdynamic.com/dt-770-m.html
These are headphones for drummers, sound engineers and studios, so they sound good / great and are very comfortable.
Maybe they work better for you.
I had a pair of QC25s and while they were nice, they did the worst at blocking out the noise I most wanted to block out.