The gouging is there to motivate people to show up with much needed supplies. If gouging is banned, there won't be supplies available.
Allow gouging, and the gouger will soon have competition to drive the price down. Very quickly, the price will drop to a reasonable level. Conversely, if you price control, there is no incentive to provide the good or service in the first place, and shortages ensue.
Government price control regulations distort markets in a dangerous way.