Well I did some research on why Bradbury used "dover beach" this page was very insightful!

Dover Beach explanation  

in that page this line pretty much sums up why Dover Beach was chosen. "The poem Dover Beach can be compared to Fahrenheit 451 because both pieces of writing talk about themes of true love, fantasy and allover hopelessness." 
 If had to choose a poem for this part in the novel it would "Tryin on cloths" by Shell Silverstein. I relate it to this novel because this poem is about finding peace and becoming one with nature, I feel like saying these kind of ideas to the people in Fahrenheit 451would cause a lot of controversy and thought which is exactly what Montag was trying to do when he was reciting poetry.