That cool down time is key. I get to work about 20-25 minutes before I need to be on the clock. If you have access to a private bathroom, use it, and strip down immediately. Yep, naked is the key. Get the clothes off and let your body air dry. Then wash up however you want. I use a combo of hand soap and wet paper towels or unscented baby wipes. These work well if you would like to try them. https://www.amazon.com/Rinse-Cleansi.../dp/B00008QQN2

I have to agree with tsl, riding in fresh laundered unworn cycling clothes really helps. The shower before the ride is also key. Those two things should help to keep the stench down. I am also a cycling clothing person, no commute in normal clothes at least not in the summer. Jersey, cycling shorts, over shorts if you feel like it. Tech tees from places like Target work fairly well if you don't feel like dropping the coin on jerseys.

I am going to be "in before the ride slower/ride a bent/ride in normal clothes" people show up. That may work for some, but on a hot summer commute, no way.