I'm stating opinion here, and it's really not based on anything other than what I've seen from watching various forums etc... But I don't think ANYONE who doesn't have some sort of background issue gets denied... If they do it's probably a mistake...
I think as long as you don't have any background issues and everything else is in order (you've got your training, you ran your ad, you have 5 valid references and they don't have background issues, etc...) then you won't be denied... You might even be asked to elaborate on your justification for wanting to carry, but you won't be denied...
What do I base this on? The fact that on this forum and other forums you see LOTS of logs of people getting their CCDW. You see people all the time saying they just received their permit in the mail or whatever... You never see anyone say, "Ohh, I got a denial letter". At least not without it being followed with a "It says because I was convicted of xxxxx but that was like 5 years ago!" or some sillyness like that...
Spend any time on any forum and you'll learn one thing very quickly... When things don't go a persons way, they tend to be much more vocal. If there were even a small percentage of people getting denied for absolutely no reason at all, you can pretty well bet there would be a stink raised all over the various forums about it.