I’m a bit out of touch with what’s currently out there. That said Id go with the wireless buds I mentioned. If they have to be phones the Sennheiser HD 4.40 & HD 4.50 wireless goes on sale for under $70us on Amazon every so often. Never heard them so this is not a recommendation but a data point. These are closed & Bluetooth.
As a reference I have heard some lower priced wired & closed-end Sennheisers. If I had to rate them it would be fair ... maybe a bit better taking price into account (think they were under $50 on sale)
