Here's the bottom line: you, like every other new permit applicant in Indy have to wait. It takes time, be patient and you will get it. Also, is 3-4 months really an unbearable amount of time to wait when you'll be getting a LIFETIME permit?
+1. I'd guess that the biggest wait is behind you and I'm sure the extra time is related to the rise in CCW permit applications.
With the current political climate, the more people getting CCW permits and becoming gun owners says volumes to those in office about how society feels about their 2nd Amendment Rights.
You might have a longer wait, but be thankful that you do. If you were the only one applying for a CCW license in Indiana, you might have a much bigger problem than waiting for a few months to get your license.