I use an old Edirol R-09HR portable, but any of the portable recorders that record to SD cards with a line in jack from TASCAM, Zoom, Roland, etc. will work. $100-500 depending on features you think you’ll need.
I use a y cable to go from RCA out on my streamer/pre amp to the 1/8 line in on my recorder. I only record to 24/48 since the streams of the classical radio stations I listen vary in quality, and none of them are hi-rez so I don’t waste the HD space. I suppose I would get some improvement recording streams to 24/96, but I save the higher fidelity for live recording of concerts.
The tape out on your device should be line level, and work in the way I described. Good luck!