A multi-track digital recorder would do the job, though
the backing track does have to be rendered and loaded on to the recorder. Among the makers: Fostex, Zoom, Boss, and Tascam. $275 - $400+
(My next one will have an enhanced interfaceI hope.)
Recorders Reviewed

Last edited by edshaw; 12/11/17 05:48 AM.

Link: www.soundcloud.com/ed_shaw (Feel Free to Use)
https://www.Rumble.com/edshaw
Biab for WIN 2020 -- Win 10 64bit -- Reaper/Audacity
Zoom R-16 -- Tascam DP-03-SD -- SoundTap -- Crescendo --