With S2, we started out looking at local schools where he had a good shot at admission, but focused more on developing his criteria for a schools where he’d be happy — large/medium/small, LAC vs research U, majors, internship opportunities, etc. Those schools became the benchmark by which he measured all the other schools he visited.
The Ivies, NYU, JHU, Syracuse and others flew right off his list.
Our family rule was that the only schools on their lists were ones at which they could see themselves attending. That meant spending a lot of time working on the essays, not only to build their case, but to better understand the merits of each school.
OP, your student has a limited time to get apps in at other schools. Time to get real and find some options that can accomplish the goals. This won’t be the last time your student doesn’t get into the school/internship of choice.
And be sure you can afford it.