Long Island, New York ?
I guess they changed a bunch of laws since 1999.
You have - official document/statement- you can carry a loaded handgun, on your person, to and from the range and gun club??
That is the strangest regulation I have heard of.
Be that as it may---you would be in violation as soon as you crossed into Queens or anywhere in NYC and maybe other counties.
I had a NYC permit for over 20 years... Loaded with restrictions.
There should be a list of qualification that you must meet-reasons why you want/need to carry a handgun.
Where on long Island are you?
~LATER~