Help please! College of Engineering & SAT scores (UCB, Cornell, Stanford, etc)

Thank you all for your responses!! So basically for me, applying to CoE gives me more flexibility, since it’s easier to transfer to out of CoE than into it, and bioe courses cover a lot of the premed courses. The drawback is that CoE is harder to get into. However, L&S is easier to get into but it would be very difficult for me to transfer into the CoE second year, so engineering is pretty much out of the question if I apply to L&S. Ugh… I’m just not sure which one to apply to. Given what I’ve described so far, which school do you guys think that I should apply to if I value engineering slightly over premed (but I’m scared of not being accepted into Berkeley/Cornell/Stanford just because I applied to the CoE instead of L&S… I really want to go to those schools!)?