You are fine.
The way GFZs work is there is a magical barrier that deters anyone the State has not licensed to carry a firearm. The GFZ fairies don't recognize States whose laws allow the legal carry of a firearm without any licensing or permits (i.e. long guns in Indiana). So, as long as you are licensed in your State to carry a firearm (Indiana LTCH, in this case) you are able to pass Go, but will not be collecting your $200, and be within the sunshine and rainbow lands of a GFZ.
Now I'm confused. It could be because I'm half asleep. Bit if I'm reading this right your sayong ainxe I have a LTCH I can carry in gun free zones? That goes against everything i know.