I have a suggestion you might like: Read (not listen to) hip-hop. Old school hip hop such as 2Pac, Nas, Rakim, or new school artists like Lupe, Common, Eminem. Hip hop is really poetry. It might help you understand the rhyme schemes and stanza structure.
I really enjoy reading hip hop lyrics. I mostly use genius.com because the annotated lyrics can be very helpful. I would also suggest reading Kendrick Lamar. Here is one of my favorites, lyrically: https://genius.com/Kendrick-lamar-sing-about-me-im-dying-of-...
As another person to whom poetry does nothing this is also a good example. I listen to a lot of Hip Hop, but the lyricism was never part of the appeal for me. I view the rapper's voice as merely another instrument. This includes the flow or cadence they may use.