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.