They might be one of the offices that answers emails, but their responses almost always begin with, "Due to high volumes, we cannot acknowledge receipt of...." And if they can't even confirm what documents they have, my logic says they're not going to tell someone how much longer it's going to be. The only time they actually feel compelled to respond meaningfully about a particular file is if the individual seeks the help of their MP and the MP inquires on that person's behalf. Then apparently they are legally obliged to respond within 24 hours. Still, many MPs just report what the person already knows - that the file is in process and they don't know when they'll be done. However, I think that might be the quickest and best way for FloridaNative to get a response from Buffalo.
It is unlikely you will be permitted to enter the embassy to make an enquiry. Send a case specific enquiry via email, Buffalo happens to be one of the offices that will answer such things.