I’d be tempted to just pitch the jug and let it go. But that’s because I’m lazy. You’ll run the risk of the mixed culture taking over and making it REALLY funky. Which might be just fine. If you ferment it first with the saison strain and then add your jug, it should help tame the wild cultures.
For a bit of extra fun, how about doing a pseudo-turbid mash? Pull some runnings, like 2 cups, after 5 or 10 minutes of mashing. Boil it quickly to stop conversion, and add it back to the boil right after the hot break. It should be nice and milky, and provide some food for the LAB after the saison strain destroys everything else.