So you have the factory pipe setup minus the mufflers at the end, correct?? If so, then that isn't causing the issue, as my 95 has straight pipe in place of the mufflers with the stock exhaust and it runs fine. Can you describe the "raw" stench? Does it smell like rotten eggs, or more like raw gas?
These are highly engineered precision vehicles, the first step in diagnosing the problem is to strike the suspected offending part sharply and repeatedly with a blunt object, then re-test.