...remember, you're only hearing one side of the story.
There was a public hearing about the zoning amendment already - both side had the opportunity to present their cases; the ZBA did not recommend the proposed zoning change.
I've been in a very similar situation but maybe I'm a country girl - it didn't bother me... I have a third of an acre, and my neighbor probably has less land... I don't recall a big din of noise... (but then I have kids...)