Humorous:
* The Doggerel Doodad
* The Limerick Limp
* The Haiku Hullabaloo
* The Sonnet Slump
* The Ode to Obfuscation
* The Rhyme-Free Rhapsody
* The Verse Vomit
* The Cringe-Inducing Couplet
Descriptive:
* The Unintentional Limerick
* The Awkward Alliteration
* The Rhyme-Heavy Riff
* The Incoherent Cacophony
* The Unpolished Poem
* The Rough Draft Rhapsody
* The Unrefined Verse
Playful:
* The Comic Calamity
* The Accidental Acrostic
* The Unintentional Limerick
* The Poetic Prank
* The Verse of the Uninspired
Ultimately, the best name will depend on the specific characteristics of your verse and the tone you want to convey.