X2 - Croton Point
Almost walking distance to Metro North station...
https://www.google.com/maps/place/Croton+Point+Park+Campground/@41.1814792,-73.8952377,16.74z/data=!4m5!3m4!1s0x89c2c7e0f832dbdd:0x260ffd41fcf610c7!8m2!3d41.1791102!4d-73.8944748Run by Westchester County... little pricey at about $55 for full hookups... but right where you are looking to be.
Stayed there twice and had a great time... close to Jockey Hollow and Van Cortland Manor...
Supermarket within a mile... 40+ OTA TV channels and great Verizon cell service...
PM for more details or with questions...