Location

Places near Trinity Church – easy walk. There are also many downtown hotels that would fit this category.

The Baroness Hotel

http://www.baronesshotel.com/index.htm

Inn at Virginia Mason

http://www.innatvirginiamason.com/innWelcome.html

Hotel Sorrento

http://www.hotelsorrento.com

Madison Renaissance Hotel

http://www.marriott.com/hotels/travel/seasm-renaissance-seattle-hotel

Hotel Vintage

http://www.hotelvintagepark.com

Others

In this list there area few places that rent by the month.  The rates are low enough that you might do well rending for a month and only using two weeks. My guess is that they get filled up quickly during the summer.

http://www.innatqueenanne.com

http://www.marqueen.com

http://www.belltown-inn.com

http://www.mediterranean-inn.com

http://www.vermont-inn.com

http://www.pacific-inn.com

http://www.eighthavenueinn.com

Ramada Inn at 2200 5^th Ave 

     http://www.ramada.com

http://www.pikestreetsuites.com

Resources on where to stay in Seattle

http://www.cityofseattle.net/html/visitor/stayeatshop.htm#stay

Search Orbitz or sites like it for combination airfare and hotel rates. Some deals are very good.