I will be flying into Seattle on Sept 3 and renting a car.  I am from Virginia and regularly backpack the Appalachian Mountains, however, this will be my first trip to the Cascades.  I plan on camping every night and have all the camping gear, but have no helmet, axe, crampons, etc.  I have no set itinerary, and plan on making it to Yellowstone and Glacier N.P. after I climb a mountain or two.  I have studied and practiced the alpine methods of roping and rescue from the book "Mountaineering - Freedom in the Hills, 7th edition", and feel comfortable with the information.  I would like some local information: 
  
What mountains would you recommend that I climb solo?  Mt. Adams, Rainier, Hood, St.Helens, Shasta? 
  
Recommend a fair priced, large inventory, outdoor/climbing shop in the Seattle area?   
  
What things should I not miss while in the Northwest? Space Needle? Fish Market? 
  
Your thoughts.