I'd say first and foremost crawl up under your front bumper and take a look at how much you've been scraping it already, if you have at all. My buddy had his bumper off on a '10 2SSRS yesterday putting a "carbon fiber" splitter on it and I just pointed out all of these scrapes and mentioned it would be that much worse with a splitter(his splitter drops down about 2 inches below his bumper). But his car is lowered and if yours isn't maybe you'll be alright.
The good thing about the ZL1 splitter is that it is very solidly mounted and it is that plastic that kind of holds up to a scrape, just tough enough, just enough flex. So just keep all that in mind.