If you are cutting dry you should have an air blast all the time.
What is the steel, what is your rpm, what is your feed?
A depth of cut of 0.1 is quite small.
You mention cutting all the way through: on material 0.4" thick you could drill through and then do everything at full 0.4" depth with an air blast.
Have you seen the videos I made showing a 1/2" cutter in hot rolled steel in this thread?
Now I'm a believer; you can mill C1018 at 800 FPM
Not nevessarily directly applicable to what you are doing maybe but it shows you what is possible when you grit your teeth.
If you are machining a higher carbon steel you could probably maintain the same rpm but back off the feed.