If you're on a thrifty mission, look at this Asos Scarf. It's a terrific piece for a reasonable price. In this price range, you can also look at this Monki Scarf. It's also a popular item and won't break the bank. You might also want to consider this Johnstons of Elgin Scarf. The price is very reasonable, but the effect on your wardrobe will be pretty fantastic.
For something in the middle of the price range, we've got your back with this Ted Baker Scarf. This item is likely to become a total wardrobe staple.