Last few years, I’ve had a Canon MG5350 with a built in disc printer and the quality overall from what I’ve seen is pretty top notch. I’ve compared it with a legit disc scanned (at 600dpi) and printed onto a printable and there is a slight detail loss, but nothing too major. Was better than I was expecting when I first got it.
So you shouldn’t have to worry about going for something like a multifunction printer as far as quality goes. Not sure what the price range is nowadays though.