you probably could try any paint sprayer that can handle oil and water for coolant. my experience is getting the right ratio as too much water makes rust and too little is a sticky gooey mess.
even if you use straight non detergent 30 weight oil it will help with machining but the fumes from mist is messy and not good to inhale. if you have an enclosed machine no problem, but an open machine maybe easier to use a plastic squeeze bottle and manually apply cutting fluid.
still with air cooling and manually applying oil works , just stand up wind and make sure down wind the fumes won't bother any equipment. computer keyboards and chips /oil covered is not good.
also some people have a skin reaction to coolants. you might want to use disposable rubber gloves. when you want clean hands, it is easy to throw the gloves away and get another pair.