Studio monitor headphones would probably be suitable, they don't have any sort of bass emphasis because of their intended purpose. They're intended to reproduce details accurately.
I'm only going to mention models that meet your criteria of wireless, noise-canceling, can pick up subtleties in classical music, strong bass is not necessary.
Wireless Monitors With Noise Cancelling:
PreSonus Eris HD10BT Bluetooth Headphones with Active Noise Canceling
AKG K371BT
Audio-Technica ATH-M50xBT2
Shure AONIC 50
Mackie MC-60BT
Not monitors, but gets good reviews:
Sony WH-1000XM4
I'm not sure what your budget is, but I know Bose and Sony both tend to have pretty pricey stuff. If the Sony ones I mentioned are within budget, any of the monitors I've suggested should be under budget. The Bose QuietComfort® 45 cost more than anything I've recommended.
I've owned Shure monitors before and they sounded great. Not quite as flat as the Samsons they replaced but they worked better for general listening.
The brand I've had the best experiences with is Samson, but they discontinued their noise-cancelling models and don't make wireless models.
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