When ironing ribbons that are difficult to lay flat try holding the end of the ribbon down with your thumb and pull the iron towards you. It's much easier than trying to push the iron forward over an unruly and wrinkled ribbon.
Here is a way to dewrinkle ribbon using a hair flat iron. Just pull the ribbon as you iron. I use my foot to hold the ribbon down. Use a water spray bottle if wrinkles are tough.
