Add all ingredients to a large vessel, like a Cambro or a tupperware container (at least two quarts deep).
Stir for at least 30 seconds to incorporate all ingredients evenly.
Cover and allow ingredients to steep together, preferably overnight. A layer of fat will form on the top.
Strain all the contents through a cheese cloth and store cold for as long as possible, preferably a week.
To make a cocktail, pour 4 oz of the infused liquid over ice. Slowly stir, taking care to not over-stir the liquid as that can over dilute the drink.
Strain into a martini glass and garnish with blue cheese stuffed olives. (An alternate method is to simply store the infused NA gin cold for a week and pour directly into the glass.) Enjoy!