There are other hotels near the Seattle Center / Queen Anne area, from which you would take the green route on the map below; and there are hotels in the Northgate / Aurora area, from which you would take the purple route on the map below. Either case is about 10 - 15 minutes drive depending on the exact location and traffic, etc. From 15th Ave go west on Market St.

If you prefer some other hotel location: Seattle Center / Queen Anne area hotels: an older Expedia listing
Northgate / Aurora area hotels: Hotel search sites keep changing their query methods, so Google it or click here for a partial listing.