ANR
The benefits of ANR are very insidious. If you wear them for 10 seconds they aren't that impressive. If you wear them for 6 hours the lack of headaches and buzzing ears become apparent. If you forget to charge the batteries on the DCs you get really annoyed.
As for the liking to hear the noise, I can assure you you can still hear all of the rumbles bumps and bangs, not even the mighty bose hides all sound.
You just have to decide whether you want to pay the extra £200 now for ANR or £200+ for hearing aids in 10 years time.