The number of LAC students who do the 3+2 engineering programs is typically low…for a few reasons including many students don’t want to leave their campus after 3 years, and the fact that you pay for 5 years of school to basically get a 4 yr degree (even though you get two bachelors that doesn’t make an extra year of college cost effective).
Ask Bowdoin how many students do this program each year.
If you want engineering, I would also go to a school known for engineering, one that is ABET accredited.