That was an excellent question- it gives the information necessary to help you as well as demonstrating that you have done some research on your own to understand the boundaries of the problem.
Good on you for realizing that there's a LOT of chloride in modern membrane-cell caustic- a lot of people don't realize that. I didn't, until I had a failure which was likely caused by that chloride!
If the caustic is not being used at a continuous process temperature of 170 F, it sounds like you're within the NACE suggested limits. As long as your process need for the caustic can tolerate a little iron in it, and also presuming that the solution isn't continuously aerated, you're probably OK with your PWHT carbon steel with an adequate corrosion allowance based on the literature you've reviewed- I have no practical experience to contradict it.
As to chloride SCC in stainless steels, high pH alone does not suppress it as far as I know, nor is the high pH alone to worry austenitic stainless steels in the absence of chloride as far as I can remember- I'm away from my references to check. I do have a dusty recollection of a risk of non-chloride caustic embrittlement in stainless steels, which is probably why NACE is recommending PWHT.
For chloride SCC in austenitic SS you only need the following conditions: stress (which can be residual stress from forming or welding etc. or continuous stress from internal pressure etc., so you can usually assume it's always there in some part of any piping system!), chloride above some threshold which varies with alloy and temperature (at 170 F, 1.3% as NaCl is PLENTY high enough), something to accept the corrosion-generated electrons (oxygen typically, but not limited to oxygen), water, and time. When considering Cl concentration, any process which may form concentrated localized brines via intermittent exposure and subsequent evaporation of the water, is particularly dangerous- salt spray falling on insulation being the classic example. Since I understand that chloride SCC cracks generally initiate at pits, conditions which enhance pitting will also enhance SCC risk: acidic pH, low velocity, deposits or crevices, poor surface condition (embedded iron, interrupted passive layer) etc.
If the service is high pressure, I'd stay away from 304 or any other austenitic. That's just a gut feel based on the above reasoning, and again I don't have my refs nearby to check. Others should chime in and contradict if I'm off base on that.