Near Rhymes (slant rhymes, half rhymes):
* litis (legal proceedings)
* gratis (free of charge)
* atitis (any inflammation ending in "-itis")
* chitis (bronchitis)
Eye Rhymes (words that look like they rhyme, but don't sound alike):
* arthritis
* encephalitis
Rhymes with a slight change in pronunciation:
* laryngitees (a playful, made-up word)
Other options:
* You could use words that rhyme with the syllables within "laryngitis", such as "itis" or "gitis".
* You could use words that are conceptually related to laryngitis, such as "cough," "throat," or "voice."
Ultimately, the best rhyme for "laryngitis" depends on the context and the desired effect.