Sticky Art Lab

Check out Sticky Art Lab in Berkeley on University Avenue. They have an amazing program, affordable prices, and the owner is lovely. 

Sticky art lab in Berkeley used to be very friendly and supportive, my kid is much older now so my information is old, but it might be something he'd like-?

This is more of a recommendation for a general art class than a drawing class, but our daughter (2nd grade) has loved Sticky Art Lab in Berkeley.  She goes to an afterschool program once per week where the kids range in age from Kinder - 5th grade.  I like that they are very flexible about the art projects and let her follow her interests.  She's done a variety of things, including drawing, but it all comes from what interests and motivates her (lots creations featuring dogs, cats, and unicorns!), and then the instructor helps her develop her skills and carry out her plan.  Our daughter is very artistic but has been put off by other art classes where the project was dictated by the teacher, and this has been a wonderful balance between freedom and instruction. 

I hear you about not wanting to over schedule your daughter, but you might try the "Open Lab" on Saturdays at Sticky Art Lab. http://www.stickyartlab.com/open-lab/ I have a son who is too young for it, but my co-worker sends her 5 year-old to the after school program a few days a week and she loves it.

I'm an architect now, but I remember when I was younger (though older than your daughter) going to the sketching camps at the Metropolitan Museum in NYC. We had little stools and sketch pads and would sit and sketch any piece of art that we wanted. I think that could be something you could re-create on your own when she is a bit older.

Contact Sticky Art Lab, on University, and go check out their space.  I think it could work well for you.