In today's day and age, it would be nearly impossible for an independent to win the Presidency of the United States. It seems that this year's election would be the best time for an independent to run, since both the Democratic nominee Clinton and Republican nominee Trump are two of the most disliked politicians in history, and there are many people who refuse to vote for either one of them. Until there becomes a strong third party that starts to win states in November, a Republican or Democrat will be our president for many years to come. I think Al Gore would be a strong candidate today, and I am sure most Democrats would rather have him than Hilary on the ticket.
I agree with your position because presidency on its own its a government and not about individual its a calibration of people with diverse knowledge and opinions. Aside from that, what about the cost of running the campaigns or doing the rallies, radio jingles among others. Aside that lets look at the voting population, it is a known fact that some set of people are fundamentally to a particular party and wont change their votes even if you present some one not really capable only few people have independent minds to go for anyone of which this population can make one President.