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I am Dr. Snow, and I can try and help you today with Benji. Give me a moment to type up a response.
Losing balance after coughing can be caused by a couple of different things. One is a vasovagal response, where coughing (or other activity) causes a sudden drop in heart rate and blood pressure, leading to incoordination, collapse, etc. This is fairly common and not concerning.
It could also be a sign of syncope, where the brain is not getting enough oxygen due to heart disease. I assume he was heartworm negative. Any heart murmur?
Correcting the cough would be the first step. Your veterinarian would be able to prescribe medication for the cough, such as antibiotics or cough suppressants.