It's true that rhyme does have an obvious appeal so experiment with both. Read poems aloud for rhythm . Sometimes breaking the rhythm can give a good dramatic effect. We chant, clap, stamp because rhythm appeals. Make use of the beat.
Repetition causes excitement in poetry.
Experiment with repeating words or whole lines in your poems. Play with language to make these fresh connections to surprise people. Sometimes unlikely connections or opposing ones make us notice and really think eg Alexander Pope talks of humankind. Opposites can be exciting. They write from an inner need to examine the human heart, to look more closely at human emotions and to express ideas in the best possible way.