The first time I tried my friend's hearing protection for shooting I was absolutely amazed. I've always gone to headphones built for listening, with the noise cancellation a secondary consideration. Professional grade heading protection is really good. (MPOW HP102A is the only brand/model I personally know, but I suspect if you ask people who hunt, they'll have good recs. A quick Google search finds things with higher "Noise Reduction Rating" ratings.)

For sleeping, I used the Bose QuietComfort for a long time. I'm a side-sleeper, so large headphones were a challenge.

For a cheap (and zero maintenance) solution, double up plugs inside a pair of hardware store "leaf blower" headphones. Very effective, no dead-battery surprises.

I’ve thought about this, does it actually work? I worried there would be weird feedback issues.

Works great for me, also see wearing ear plugs inside of noise cancelling head phones

That's my airplane remedy!