Here's what you need to do: Put them into hanks/skeins (by using a swift or the back of a chair). Tie it in several places (I like four.). Then wash them in tepid water with mild soap (wool wash or mild shampoo). Squeeze out extra water. Then hang up in a location where they can dry -- outside on a line, over your shower nozzle, on a hanger in the bathroom, what have you. The washing coupled with the weight of being hung vertically will help them dry quickly and will help work out the kinkiness.
(Yes, you can hand wash all silk.) HTH!