" NON-ricey cat back exhaust "
Tough Luck. Honda's sound ricey. Period. LOL......
Best thing you can do is get a 2 1/4" CBE with a Quiet muffler. I've got an old-school GReddy muffler in my garage...... That muffler is so effing quiet for being a straight-through muffler. It's big-bodied so it has plenty of space to muffle the sound. Only problem is, it's huge. Probably like 8" around at the muffler. Either a 3 or 4" tip. Can't remember. If you are lowered, it will probably scrape, unless Integra's have plenty of space above the muffler to tuck it.
^^^This is for being N/A. Is you're going boosted, get any ol muffler and any size piping above 2 1/4". I've personally seen and heard boosted Hondas and they sound mean and deep like you want. Like previously said, the turbo acts like a muffler sort-of.