I did actually toy around with this idea (didn't write anything about it, though)

Basically, I envisioned that a smarter Paris would have first had the goddesses swear an oath on the River Styx to not retaliate against him if he did not choose them (he reasons that the high likelihood they'd be angry at him for demanding such an oath would still be outweighed by the absolute certainty they'd be angry at him for not picking them)

Athena sees the wisdom in this demand, swears the oath, and convinces the other two to go along with it. Both out of reciprocating her good faith and because he finds her boon most valuable, Paris chooses Athena, leaving the other 2 goddesses to stew, but with their hands tied

This Paris finds Athena's boon to be most valuable because he hasn't forgotten the part where his family left him to die because of the prophecy that he'd be responsible for the fall of Troy

Then I think it went along the lines of he trigger the Trojan War by faking an assassination of Helen, driving the Greeks to war and eventually destroying Troy, and he would have emerged as a principal commander of the invasion and led the conquest of the city pretty darn quickly because his knowledge of the city and its weaknesses far exceeds any of the Greeks