So, to improve on my music listening I need a good stereo amp with HT bypass.
No, you don’t need a stereo amp, you need a stereo integrated amp. Why? The preamp section of your AVR sucks, so just replacing the amp only gets you halfway there. Buy a good integrated amp with HT bypass and run the front L/R preouts from your AVR into it and you’ll get a much better result. Also, no stereo amps have an HT bypass — only stereo preamps or integrateds can do that. Best of luck.