10-15 years ago for music I had a cheap MP3 player that also sported a radio tuner. It could take 10mins to transfer a few MB of music, but I was using that for music. It was very slim, imagine a knock-off of an iPod (the ones with the tiny no-touch screen).
Perhaps get one of these? They shouldn't cost more than £€$50 for a couple of GB
Reminds me of my old casio watch that synced calendar reminders via a sweet dock. Physical actions to do syncing and remembering every time I left my desk wasn't that long ago.
The question is where do you store the music since it's a dumb phone