I have never gotten good life from carbide in stainless. I'd rough it out with some coated cobalt roughers at 750 rpm, good soluble oil flood coolant and .002-.003" feed per tooth. Then finish the last .010" on the side with your Power Feed at 2500 rpm and .002-.003" feed per tooth depending on the finish you need. Dry on the finish. 316 is 304 with the addition of 2% Molybdenum, so it work hardens very quickly and is hell to drill. Never just rub or feed too lightly.