Yeah, not many secure spots to ditch a gun that wouldn't come up in a search and wouldn't lead directly back to the owner.
Plus, NY CCL? Don't they register your guns, you and the specific gun you're allowed to carry?
You may want to rethink that.
Among her many other talents the former future ex-wife twice (not once but twice!) brought carving knives into the juvie prison where she was a teacher.* As far as I know they have not been found yet, although a search (for both the knives and what pasased for her brain) was instituted as soon as what she had done was discovered.
Regular prison cell searches last no more than 5 minutes. With just a little thought you can find places to stash stuff that will make it past the level of scrutiny 5 minutes of looking offers.
Explosive-sniffer dogs usually cannot find a handgun unless it has been fired and not cleaned. They get all confused when cops wearing guns are also all over the place.
stay safe.
* - It's a long story. She (also against policy and good sense) brought home-made birthday cake for her little angels. The first time she took my good 16-inch carving knife to cut the cake. It "got lost" in her classroom. She waited 3 days to report it missing, hoping to be able to find it. 4 months later she took my best 12-inch chef's knife - but at least she reported it "missing" the next day. So far there have been no reports of any kid getting carved or diced. But I'll bet that the location of each of them has been passed from kid to kid over the years.
And no, you do not want to hear what happened to her professionally or personally. If you ever want to see an epic face-palm, see one done by a forensic psychologist - one with 15 years experience working with criminals.
stay safe.