Fully annealed austenitic stainless with yield strength as low as 35,000psi can fail by SCC. It can happen at temperatures as low as 30C in slight chloride environments, although 50-60C and higher chloride is more likely.
Pitting seems to be a necessary pre-condition for SCC. There has been endless debate over whether the mechanism is micro corrosion or hydrogen embrittlement. If austenite is more stable, SCC is less likely. If you can choose the alloy to avoid pitting you have done all you can unless you switch to the less SCC-prone duplex stainlesses.