There are plenty of cheap machines that don’t have the grinder. My current one is a De’Longhi. It’s a pain in the ass to get the grounds out of the portafilter, but it works. Had a Gevi that worked pretty well but I destroyed it on accident (long story). Anything around the $100 mark if you don’t want to spend a lot. And like I said, these cheaper machines are good for beginners because many have pressurized portafilters that produce crema regardless of how well tamped or ground the coffee is.
At some point I will probably upgrade to something better, but honestly the cheap ones work fine for what I need them to do.