This is an experiment to try even and especially if you don’t like rhyming poetry! Why? Because the result here doesn’t have to rhyme at all.
Find a rhyming dictionary and open to a random page. If you use an online rhyming dictionary, type in any word you like in the search bar and then print out the resulting pages.
Read the entries on the page/print out. Notice the way your “mind’s mouth” begins to read in rhythm with the words. Do you observe any extended or associative meaning from the words as you read them this way? What about if you read them across rows, or at random places on the page?
With a pen or pencil, draw lines between words that have a connection, whether sonic or poetic, or otherwise seem to be linked.
Construct a poem from these connections.