There is no shortage of hotels in Seattle and websites that can help you find them, but here are a couple of options for the budget traveler
This airbnb location is about one mile from The Knitting School. Several students have stayed here and been very happy with the arrangement. It is close to the light rail so getting to and from the airport and downtown are easy. Rates are currently $35/$45 per night.
Here is another airbnb close to the studio and comes highly recommended by a student.
This airbnb location is closer to the school and more expensive but it has had a rave review from a recent student.
Several bus routes stop nearby. See Seattle Metro.