Rough idle at start-up/smelly exhaust

Chrysler has almost no trouble with either part. Start by looking for a vacuum leak. The oxygen sensor will detect that unburned oxygen and the Engine Computer will command more fuel. No matter how much extra fuel enters the engine, there will always be that unburned oxygen being detected.

Also consider the MAP sensor as a possible cause of running rich. He has the biggest say in how much fuel enters the engine. It can report the wrong value of engine vacuum but as long as those values remain within specs., no diagnostic fault code will be set.

My parts store doesn't show a MAP sensor for this engine (much to their surprise also) I wonder if I also have a faulty check engine light because of the sheer amount of residue and water coming from my exhaust is such that when i am parked in my driveway and i hold it on 3500 RPM'S for 30 seconds you could write your name in the black spot on the driveway, thus making it hard to believe that the o2 and fuel are still within specs. If it doesn't have a MAP sensor what else would it have?

The MAP sensor is bolted to the side of the throttle body.

Black soot from the tail pipe is not uncommon, and clear water is a byproduct of the catalytic converter doing its job, so those are probably not the best symptoms to look at. I'd be more concerned with feeling a misfire. The next step would be to connect a scanner that can read live sensor data during a test drive. If the oxygen sensors are switching rapidly between rich and lean a couple of times per second, the engine is most likely running properly. If one of the readings stays lean longer than normal, that O2 sensor is detecting the unburned oxygen from the misfire. You will smell the unburned fuel at the tail pipe.

I don't have a scanner or code reader so I guess this is officially over my head. about the MAP sensor: if O'Reilly and Auto Zone both don't show one for this engine does that mean that the entire throttle body would need to be replaced?

Nope. Check it out on rockauto.com