Can you give a little more information about what you're really hoping your daughter will see and get out of the experience? What type of engineer are you looking for? I'm a software engineer in SD with a 12 year old daughter of my own.
I think she's a little young to specify which branch of engineering (medicine and architecture are also on the list) but exposure to any and all would be good. She worked through a fair chunk of Python for Kids last summer. I feel a little bad that I'm not a great teacher, but she's proud of what she learned (as evidenced by the fact that they had an intro to python in school and she housed everybody).
Really, I just want her to come home with a new appreciation for the technical ability of women, and insight that learning math and science leads to something other than doing more long division by hand.
I went through all the contacts made through this thread and my daughter seems most interested in contacting you and your daughter. If you're interested in a free lunch, my email's in my profile.