I'd suggest you don't need noise cancelling, instead go for closed back.
Headphones that cover the ears come in open back or closed back.
Open back: Let air through, creates a more spacious sound, leaks noise and lets noise in.
Closed back: No air gets in and out, creates a tight and punchy sound that can eventually be a little tiring (many hours), does not leak noise, and lets very little external noise in.
If you drop the noise cancelling and go for closed backs, you suddenly get good quality headphones at a reasonable price. I'm not so knowledgeable on the wireless front though... so perhaps someone else can step in.
I'd suggest you don't need noise cancelling, instead go for closed back.
Headphones that cover the ears come in open back or closed back.
Open back: Let air through, creates a more spacious sound, leaks noise and lets noise in.
Closed back: No air gets in and out, creates a tight and punchy sound that can eventually be a little tiring (many hours), does not leak noise, and lets very little external noise in.
If you drop the noise cancelling and go for closed backs, you suddenly get good quality headphones at a reasonable price. I'm not so knowledgeable on the wireless front though... so perhaps someone else can step in.