That's okay. You can rip the CD in a few minutes with even the crappiest drive and then use any music player you want. Slightly more annoying but the music is safe.
And it takes more than an hour to listen to one. If you had motivation (such as not being able to get a good player) you'd figure out a system to rip a single disk right when you want to play it. And probably to start playing before it's done ripping.
Also the bulk of cheap drives out there do at least DVDs at 8x and CDs at 24x (which are roughly the same RPM), so with a smidge of motivation you'd also get one of those and be ripping CDs in closer to 5 minutes.
I'd probably make a little project where I buy 4 drives for $70 total, and once in a while I spend an hour ripping 30-40 CDs while listening to whichever one appeals to me the most out of the batch.
If you find one. Last year I was searching for good old fashion players. There are only old used in the market. The only new ones are crap.
In 10 years will be difficult to find good players.