Puffy nipples are the result of some excess glandular tissue directly beneath the nipple. The areola skin is typially thinner and too weak to keep it flat. When you are cold the thin layer of muscle within the areola contracts and is able to flatten it. But it can't do it continuously. The best treatment is to excise the glandular tissue. This can be done a few different ways depending on the surgeon's preference. You should see an experienced gynecomastia surgeon for best results. your height has nothing to do with it.