Normally I don't flood cool but EN16 gets the full treatment. It's demanding enough to need extra care. Lots of lubricant and continual swarf clearance.
Another tip is cutting tools last longer when they cut rather than rub. With tougher materials, it's intuitive to back off but that may not be the best strategy. Try being more brutal, using more of the cutting edge per cut, and avoid rubbing like the plague. ( If the mill is a small one, it may not be possible to take cuts heavy enough to maximise tool life.)
Most of my end-mills are HSS but I keep a couple of carbide types for roughing out 'difficult' materials. By using HSS to finish, I reduce the time they are exposed to scratchy jobs.
I only have a little EN16 because a job once needed to be hardened. Not good to machine and I found it difficult to get a good finish on it. For ordinary work it's on my 'avoid' list.
Dave