Castrol Moly-Dee cutting fluid is the stuff for stainless, Ti, inconel, all the tough stuff.
I used to make a lot of custom precision skateboard truck axles for slalom and downhill racers, subsequently there were a lot of 5/16-24 and 8x1.25mm threads to cut on heat treated 4140 and 8640 CrMo and CP and 6.4 Ti. I have a couple automatic die heads I've picked up specifically for the job, which helps a lot, but switching to Moly-Dee made all the difference.
Warning - it's incredibly expensive. That said, breaking off a tap in something irreplaceable is ~more~ expensive.