This seems less likely if Aaron Rodgers ends up retiring but if the long-time Packers quarterback doesn't decide to hang up the cleats, it's time for Green Bay to see what they can get for Jordan Love in a trade. The Saints might want to show some interest if that ends up happening.
We haven't gotten to see Love do much as an NFL quarterback to this point in his career but sometimes gambling on the unknown pans out. The only start in Love's career came during the 2021 season when he filled in for Rodgers, who had tested positive for COVID. Love threw for 190 yards, one touchdown, and one interception in the loss while rushing for 23 yards.
People probably wouldn't love this option but if the Packers stick with Rodgers for another year, it could be a viable option.
Last, but not least, we come to arguably the best quarterback option on the free-agent market: Derek Carr. The former second-round pick was benched after Week 16 of this season because the Raiders didn't want him getting injured and potentially hurting his trade value. That more than likely means that Carr will be traded in the offseason but he does have a no-trade clause in his contract.
The Saints have some ties to Carr in that Dennis Allen was his head coach in Oakland in 2014 before getting fired not long into the year. NOLA has a decent defense and the run game is good, which could entice Carr. They also play in a dome, so he wouldn't have to worry about playing half of his game in the elements.
This feels like a long-shot because of what it'd take to acquire Carr but this might be the best option available.