I have a B&O Beosound A1 that is very impressive for its size but its over your budget new.
I also have a "vintage" iPod HiFi (only made by Apple for 1 year) that sounds great but you’d need a BT transceiver as it was designed for the original iPod. I’ve seen these for sale for around $100.
I would not rate these or any BT speaker as 'near audiophile' though.