Ahh! Roger the Linguist! Do you actually teach your students this kind of rubbish! Perhaps, rarely, an adverb does qualify an adjective, but, off the top of my head I can't think of any. But, that is beside the point. You are using an adjective, and a verb, to qualify a noun!! You could have, correctly, used two adjectives!
" egregious, stereotypical comments". Hopelessly overblown prose, but, nevertheless, grammatically correct.