Benjamin Franklin knew Smith personally, and was present at the drafting of the Constitution, so there is at most one degree of separation. I haven't actually read Wealth of Nations myself, but its worth noting that a lot of compromises had to be made on all sides to encourage states to actually join (IIRC the income tax was originally illegal because the initial wording implicitly said that slavery couldn't be taxed out of existence, and this was intentionally worded to encourage southern states to join).

It's more like they were familiar with the Theory of Moral Sentiments^. This work lays out the foundation of the Wealth of Nations and lays out an explanation of The Invisible Hand. From the Section 'Sixth Sense':

"Hutcheson had abandoned the psychological view of moral philosophy, claiming that motives were too fickle to be used as a basis for a philosophical system. Instead, he hypothesised a dedicated "sixth sense" to explain morality. This idea, to be taken up by David Hume (see Hume's A Treatise of Human Nature), claimed that man is pleased by utility. "

I think this is one of the first places to move away from a labor theory of value to a utility theory of value. I'm a dummy though so who knows.

Edit: Publication on or before 12 April 1759 should have had plenty of time to be read and discussed before the Contract Clause?*

^https://en.wikipedia.org/wiki/The_Theory_of_Moral_Sentiments