As others posted, using (semi-)isolating headphones connected to the CD player and hearing the drums bleeding through can do the job - I did so in the past.
A step up with some more control would be something like the (temporarily) setup I have in my home office:
- an entry level Mackie Mix 8 mixer
- a cheap overhead mic (I used a set of Behringer C-2)
- Shure SE215 isolating earphones.
- an iPad for playing music (or CD player or whatever device)
The SE215 block sound pretty well so I can create a nice mix between drums and music.
Cost: around € / $300 - without iPad
BTW: first I tried 1 mic and an AKG bass drum mic but the bass is loud enough so I used 2 overheads (for stereo) instead.
The Zoom is not required, I use it for recordings.