One idea
A trade-off is not a weakness. It is a choice with a cost.
Good system design does not say “this is best”. It says “we chose this because it fits our users, deadline, and constraints”.
What to compare
For a hackathon project, compare choices that a reviewer can see in your app. Do not write theory that your code does not use.
Common trade-offs are SQL vs NoSQL, cache vs fresh data, queue vs direct processing, scale up vs scale out, and managed service vs self-hosted.