The easiest way to know whether or not you have a CCV problem is to take a piece of paper and hold it over your oil filler (with the cap removed obviously) while the engine is running. If there is a lot of suction, your CCV is failing. A little suction is normal, but if it tries to swallow the paper, you have a bad CCV. Try this and report the results.
Note: Some people say to use a plastic bag, which I don't recommend simply because you might actually suck it into your engine and then you're really screwed!
In response to the other things you've mentioned, a low battery can cause rough idling but it would have absolutely nothing to do with the smoke. One other thing you need to pay attention to is the way the exhuast smells. When my CCV went out the exhuast smelled like old/bad gasoline. I actually replaced the fuel filter at first thinking I had just got some really bad gas.
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Last edited by halltristan; 11-08-2012 at 08:38 AM.