Again, those channels you refer to are not for home use, they are only for Distants customers, are only the four networks, and are for those who have an RV and have applied to get them with proof of the receiver being in an RV they own. You can not subscribe to them with a residence account. The NY channels on the Eastern Arc are on spotbeam only, channels 6300 to 6308, and on the 61.5 Satellite. You have to live within the spotbeam to get the signal.
A distant channel (in short answer) is for people who can not get their own local channels on an outdoor antenna. A traveling RV'r would be such an example. So those have to be on CONUS. (CONUS = covers the continental US Spotbeam = covers a specific area of the US)
If you have an address within the area the NY locals cover, and you are within the beam of the Dish signal, you will be able to get the channels I listed.