I would use a name brand synthetic and do OCIs according to the OLM. We have the same engine in our Wrangler, and the OLM has been running right around 9000 miles. No way would I be comfortable running a dino oil this long.
While under warranty, make sure to use only oils that carry Chrysler's MS-6395 spec. My choice so far has been Pennzoil Platinum. QSUD would be a good choice as well, it's probably the lowest priced name brand synthetic out there.