Are we talking aqueous coolant or cutting oil
If aqueous you could probably go with a little giant, there are some offerings on amazon. But then issues with stinky bacteria, not letting it freeze or the mix get too dry in the summer. Have to keep concentrations so that the rest of the saw doesn't rust.
If oil based I'd go with a peristaltic pump but you'll probably have to change the tubing to one compatible with oil. McMaster Carr used to have them which seem aligned for chemical and or pool service but they did also have a tubing which could handle the flex and was oil resistant like nitrile rubber. This will throw slippery oil all over the place while solving the issues of water-based.
My usual advice is to cut dry, belt yourself towards 100sfm and keep feeds reasonable. In a shop where you aren't cutting constantly, a thin edge with <3 teeth engaged in the work wrecks blades 10x faster than you can wear them out from lack of lubricant. My first horizontal saw cut almost 10 years, totally dry, before I changed the blade.
A high end pump would be a Graymills but prepare thy wallet!!!