If money really is no object, and your kid’s credentials allowed them to attend the school(s), AND if the kid has the ability to complete the degree with reasonable performance (I.E. not flunk out), then I would say send your kid to the most elite university that opens the most doors for him/her, BOTH in engineering AND outside of engineering, provided he/she wants to go there.
The reason is because I’ve seen many cases in which people who thought they wanted to be engineers ended up realizing halfway through their degree they absolutely hate it and want to do something else, and when that happened, who well they turned out depended on how well the school offered Plan B.
Also, it depends on how hard your kid wants to work. If he just wants an easier time and enjoy life too, and stay in engineering, you might want to think twice about sending him/her to Berkeley’s EE/CS program unless he’s just brilliant. I’ve personally think it’s much better to coast through college at a “lesser school” with mostly A’s and enjoy life than to struggle through something like Berkeley with a C-. You’re probably more employable in the former case too…