The vehicle we use to elect the president is more like an Electoral Bus than a College, because its purpose isn’t to educate, but to arrive at a destination: the selection of the president.
To get there, let’s say every state has its own Electoral Bus, District of Columbia too, so it’s a pretend fleet of 51. On election night, each state’s electors board their own bus and head out, but as long as they end up at the presidency, how they get tickets to ride is up to their legislature. That’s an exclusive state right granted by the Constitution.