From his autobiography...
“And, indeed, if it be the design of Providence to extirpate these savages in order to make room for cultivators of the earth, it seems not improbable that rum may be the appointed means. It has already annihilated all the tribes who formerly inhabited the sea-coast.”
That was the phrase I used. What I got was a blog (wasatchfront.blogspot), a Library of Congress website, several religious websites and a religious blog. I didnt go further because you referenced the first site as being the operative one. None were very relevant to the accusation of js that boops quotation is a fabrication. Given what is to be found in Farrands Records I cannot imagine what js is citing to support his accusation. I must not be getting the same results you are.
Franklin was a Deist, but not of the hands-off clockmaker God type of Deist. He did believe in providence.
And with that you have defined away the most essential characteristic of Deists; that God does not seek to intervene in the affairs of men or in the operation of the universe.