From Federalist 68, The Mode of Electing The President
[QUOTE=Alexander Hamilton]
It was desirable that the sense of the people should operate in the choice of the person to whom so important a trust was to be confided. This end will be answered by committing the right of making it, not to any preestablished body, but to men chosen by the people for the special purpose, and at the particular conjuncture.
It was equally desirable, that the immediate election should be made by men most capable of analyzing the qualities adapted to the station, and acting under circumstances favorable to deliberation, and to a judicious combination of all the reasons and inducements which were proper to govern their choice. A small number of persons, selected by their fellow-citizens from the general mass, will be most likely to possess the information and discernment requisite to such complicated investigations.
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From Federalist 62, The Senate
[QUOTE=James Madison]
If indeed it be right, that among a people thoroughly incorporated into one nation, every district ought to have a PROPORTIONAL share in the government, and that among independent and sovereign States, bound together by a simple league, the parties, however unequal in size, ought to have an EQUAL share in the common councils, it does not appear to be without some reason that in a compound republic, partaking both of the national and federal character, the government ought to be founded on a mixture of the principles of proportional and equal representation.
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The intent was that qualified electors would be selected, and the electors would then pick the President. The intent was not that voters would pick the President, so there was no need for the electors to act as some kind of check on the will of the people. Article 2 Section 1 (#-of-Electors = #-of-Reps + #-of-Senators) was just a specific compromise that came from a more general compromise to balance the competing desires of proportional and equal representation of the States.
Since that’s not how we effectively do things today, the intent outlined in Federalist 68 is not really relevant anymore. But that was the original intent.