I appreciate the lengthy answer (thank you!), but you might be misunderstanding what I am looking for, so let me answer you below.
I’m unsure why you’re asking folks familiar with Apple gear about this, as Apple hasn’t made a dedicated music player for many years, and none of the current Apple options are particularly priced like an iPod.
Actually, I know they haven't. I've been with Apple for a couple decades now. I'm asking folks here because I'm thinking at least one person here might have the same situation as I have, and might have a suggestion.
The least-expensive Apple choice for music playback including Apple Music streaming is the iPhone 17e, or an Apple iPhone refurb if and when available. Or an Apple TV 4K, or HomePod mini, if you’re in a fixed location. And you’ve ruled out the iPhone 17e.
This is something I want to get for my wife. We both have iPhone 16 Pro models, and have no reason at all to upgrade for a couple more years. We typically get 5 years out of our phones before upgrading. I should mention that the music player would need to be a Bluetooth device for her car, and for her portable Bluetooth speaker when she is at the beach for instance. We both have iPod Nanos, but they are the small older 8GB ones, and they are completely full. I'd like to find similar with at lease 32GB capacity.
If you want to buy an iPod-like MP3 player, equivalents are available for roughly USD$30 and up. The baseline MP3 players won’t play DRM streaming services including Apple Music, so you’ll either need to own your music, or have a player with support for your preferred streaming provider.
This is exactly why I am asking what music player on the market would be compatible. While we have both purchased a LOT of music from iTunes over the years, we do not have Apple Music for subscription streaming, nor do we want to go back to that. Our purchased library is plenty, and if something new comes out that we want to listen to, we will purchase it from iTunes Store. So basically, I don't have a clue as to which third party MP3 players would be able to connect to her iMac, and download the music that has been purchased for years. I tried searchijng Google, and I am getting a huge mix of "This one will work" only for another site to say "No, it will not" - so I thought I should ask here for anyone that has done similar to what I am asking.
If you specifically seek Apple Music streaming at a lower price, it’ll likely be an Android device, and the folks around here probably aren’t all that familiar with Android options and considerations. Or you keep your old phone.
We always trade in our old phones, or give them away. Since it will be roughly 3 1/2 years before we upgrade, I'd rather not wait for that option. Again, "No" on any streaming. This is 100% for either music that was fully purchased from iTunes, or pulled off of our CD's and uploaded to her iMac, and played through the Apple Music app.
I hope all of that makes sense in what our needs are. If not, let me know, please.