Imma be totally honest here and say that nothing with built in Bluetooth and ANC is going to qualify as even budget audiophile. Sony does probably make the best bang for your buck TWS/combo earbuds though.

If you're looking for something cheap, transparent/neutral, detailed, and optionally wired, your best bet is definitely a pair of IEMs and a Bluetooth receiver. You can get a lowish-end pair of Moondrop wired IEMs that'll reproduce more detail than fancy earbuds, and then hook them up to a tiny Bluetooth receiver that supports LDAC/AAC/apex HD codecs (like the fiio btr3k) when you want wireless convenience.

Swapping the silicone tips out for something like comply foam will also block out as much or more sound than low-end ANC, and it'll do so without distortion and without putting any of the cost of the headphones toward something that doesn't improve audio quality.

Just my two cents as someone who has tried a TON of high end earbuds and gladly settled on IEMs + a BTR5K receiver. And for anything under like $800, Moondrop tends to offer the highest tech for the money with IEMs.