The SearchPage is not tied to a structure. Just like the Settings or Profile pages it sits outside the community structure you have. The closest you can get is customize the search experience based on which location the user has selected. The URL contains two relevant parameters:
filter=location
and
location=forum-board:studio
You can create a custom component that uses the http.request context object to obtain these. Then match them against a list of nodes (categories, TKBs and boards) and either add a CSS class container or inject some styling accordingly.
