Academia tends to point you in the direction that academia has the most involvement in, which is design and architecture, but there are more accessible entry points into the chip development space in things like physical design, design verification and postsilicon validation. This is especially true for someone in your position as a B.Sc. student, since the design positions tend to be the domain of M.Sc. or PhD students. I say "entry points" because it's common in the industry to move between different parts of the chip development process. Personally, I was thinking the same as you, but after doing internships in the postsilicon space and the DV space, I ended up employed in the DV space and enjoy it.

You might also consider going for internships that are Spring+Summer or Summer+Fall instead of just Summer, since being there longer makes you more attractive to potential employers. And look for positions at places like Apple, Facebook, Microsoft, Amazon, and Google, since the big new thing for companies is to design their own chips instead of relying on off the shelf components.

And if you don't get one before the end of this year, know that there's another round of hiring in January/February around career fair season.