Hey MrShot
I am a Cortland County resident and work in Tompkins. I got my pistol license in Cortland County almost a year ago without restrictions. Cortland County does issue unrestricted, but I am unsure if it is a rule or an exception. The reason I stated on my application for having a pistol license was "all lawful purposes". During the proess, I had a NYS Police Detective interview me and he seemed entertained by that response. I explained that I plink, hunt, would like to compete, and might want to carry a gun. Honestly, before I received my license I did not know whether or not I would carry if "allowed", but I knew I would think long and hard about it.
I received my license in 3 months, almost to the day, with no restrictions. The Cortland County Pistol Permit Clerk is a wonderful lady who will answer any of your questions. At a concealed carry seminar I went to some months back, a student asked why his license had restrictions of "Hunting and Target only". The instructor then asked the student what reasons he had put on the application. When he responded that he had put hunting and target shooting, the instructed replied "you got exactly what you asked for". His recommendation was to get some training to show he had proper knowledge of safe gun handling and to write a letter to the issuing officer (a judge in Cortland County) asking for him to remove the restrictions on his license.
I would talk to the Pistol Permit Clerk and ask her opinion and then contact the judge if necessary. If you want their contact information, it should be on the county website, Link Removed. Change the "X" to a "w".
If you need a place to shoot, I will recomment the Cortland Pistol Club in Groton NY. They are a great group of folks and they hold shoots monthly. The range is open at almost any other time, and their website can be found by searching the name.
Good luck.
-Matt