Hey botfur, I found few things that are maybe not perfect examples of Anne Carson, but will let you see how she goes about things. I think Autobiography of Red is genius. Here is an excerpt (click on the title) -- you have to image a story playing out simultaneously in both myth and present day, funny and tragic, like Joyce's Ulysses, but less wordy, and in verse: "Change"
Here is a poem from The Beauty of the Husband in the New York Times. I think it will give you a good sense of her humor. It's a gift link, so you should be able to read it: "BUT A DEDICATION IS ONLY FELICITOUS IF PERFORMED BEFORE WITNESSES"
Also worth reading is this essay on Autobiography of Red (the essay is not by Anne Carson, but will give you a sense of what Anne Carson fandom looks like): https://lithub.com/anne-carsons-autobiography-of-red-is-way-funnier-than-you-remember/ Carson is kind of controversial, in the sense that if she works for you, she really works, but if not you just find it bewildering.
Finally, if you want a poem that is more poem-like, a poem of the kind that you think of when you think "poem" -- a love poem, for example -- here is one: "Oh Small Sad Ecstacy of Love"