You don't really have to refrigerate fish oils, unless you're letting go for years. It's just a matter of your GI physiology and how fast your stomach empties. The more highly purified the product, the less likely you're going to have a burp.
Bill Harris, PhD is an internationally recognized expert on omega-3 fatty acids and fish oil. He has more than 300 publications relating to fatty acids, including omega-3s, in the medical literature.