Thanks to Morbidslinky and their Black Sneaking Suit, I created a mash-up of the original suit with their's.
Works for Big Boss, Male and Female Diamond Dogs. Also should work for Venom Snake.
I'm also using the Sneaking Suit Gear Removal mod by Morbidslinky as well.

This mod requires SnakeBite Mod Manager.

[SBWM]