With the leftover Shelter in Fossil (white) and a partial skein of Noro Silk Garden, we knit a simple Turn a Square hat (free on Ravelry). Since Silk Garden is a heavier yarn than Shelter, this hat is sized a little more generously.
We recommend not increasing after the ribbing if using this combination of yarns. If you only use Shelter, or a similar yarn, you will want to follow the pattern as written. This pattern is a great way to use up odds and ends from your stash.