Your definition of a "fair election" goes against the US Constitution.
The Electoral College is an essential institution that promotes:
Domestic tranquility; a national crisis would ensue if a close election required a recount, because in the absence of the Electoral College the recount would be done everywhere.
Voter fraud limitations; if either a big city or a state is used as a tool to change the outcome of elections, any damage is limited to a single state and the impact is reduced nationally.
Integration; if a few states like California or urban areas could dominate every single election, it would exclude voters in rural areas. This would have the effect of balkanising the nation geographically.
Republicanism; democratic tyranny by the majority, which the Founders strongly opposed.
The Electoral College balances power between larger and smaller states to prevent large populations within large states and cities from monopolising elections, especially taken into account the substantial disparities in population, population density, resources, and needs. Considering that a vast majority of resources supplied to big cities come from rural and suburban areas throughout the U.S., it is also important to give fair representation to smaller states beyond state-by-state power balancing interests and also take into account of economical interests to allow the U.S. to best advance itself in terms of jobs and letting the market thrive.
conservapedia.com/Electoral_College