Hey,
It seems that Google is giving respect to "Big School" because of it's overall authority. If you like to continue this approach, you might need to work on the overall authority of "New School" to get things straight.
Frankly speaking, I wouldn't go with this strategy as there are lots of other ways to leverage your new site from the old one. For instance, you may place the attractive banners at the "Tourism" page that point to your new school and stuff like that.
I reckon your "New School" is not offering lots of degree courses so yes you can get the link from "Big School's" content but make sure, you are linking in a proper and natural way.
For more details about canonical tags FAQs, please refer to this brilliant resource from Dr.Pete,
https://moz.com/blog/rel-confused-answers-to-your-rel-canonical-questions
Hope this helps!
Thanks,

