I can't help you locate a 'touch less' car wash in NYC, but if it helps you to decide which to use between a â€ËœTouch lessâ€â„¢ and a DIY.
â€ËœThochless'-this type of automatic car wash use high-pressure water and strong detergents to clean the road salt /grit /snow /dirt and etc from vehicles, which will also remove the paint protection sealant/wax, also be aware of those that use â€Ëœwheel guidesâ€â„¢ as they will cause scratches / etching to the wheel surfaces and may cause damage to tyre sidewalls.
You will also need to renew the vehicles sealant / wax to ensure paint surface protection on a regular basis to counteract the effects of the harsh detergents.
JonM