My husband and I have a permit to climb the East side of Rainier over the 4th of July Weekend.  My dad was supposed to come with us, but will be unable to make it.  We aren't big fans of 2-person rope teams and were wondering if someone would like to join us.  Our itinerary is: 
Day 1  Hike to camp Schurman from white river 
Day 2  Rest day at camp Schurman 
Day 3  Summmit 
Day 4  Hike out to white river 
We aren't speed climbers, but have summitted Rainier twice from Muir.  We've been up to camp Schurman twice also and weathered out both times, so if it looks like crappy weather, we won't be going.  PM me if you are interested.   
Thanks, Carrie