I have a wrangler with a 4.0 litre engine and as far as I know, they use the same type of filter. I run 10w-30 in mine with a Hastings LF115 filter. This Hastings filter is larger than the OEM filter and has an extremely robust coil spring, great anti-drain characteristics, and a well designed bypass in the event the filter is clogged. Currently I am using mobil1 but will be switching to Rotella T5 or T next change as the HD qualities of this oil would benefit the flat-tappets of this engine and I don't run an extended drain to take advantage of a full synthetic...
I am sorry but I really do not know much about the 3.8l engine...s for an OCI, if you are interested in extending your drain interval, do so if you are confident with the analysis of your previous oil.
Honestly though, if you want to save money, you could get by with Pennzoil yellow bottle, mopar filters and 5000 mile OCIs...