Recipe checks out at about 5% superfat assuming 100% pure NaOH. If you're using NaOH with less than 100% purity (which is almost certainly the case), then the superfat would be even higher. My feeling is your recipe is reasonably okay.
Other issues to look at:
Is it possible you're using fat that has a much lower saponification value compared with the sap value used by SoapCalc? Soap recipe c@lculators use averaged numbers for the sap values, so there is some inherent error in this. It's not usually a problem, but it's possible it could be.
Are your scales accurate?
If you haven't already, do a thorough zap test. I'd test the top, middle and bottom surfaces of a cut bar as well as splitting the bar open and testing the freshly cut center portion. That will let you know if your soap passes an informal "free alkalinity" test. If your soap really does have 1.1% free alkalinity, your soap won't pass a zap test.
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Consider is developing an in-house method to do this test if outside testing is a requirement. You don't want to be sending product out to be tested if it can't pass in-house testing.
Here's a non-ASTM protocol as developed by Kevin Dunn for use by small-scale soap makers and also see Dunn's book Scientific Soapmaking for a written version of this method:
Here is a source for an ASTM approved method for use by "real" analytical chemistry labs:
https://www.normsplash.com/Samples/ASTM/111295388/ASTM-D460-91-(R2014)-en.pdf You'd want to verify if the test lab is using this method or using another method.
If they're using another method, see if you can get a copy of the method or find the source for the method. ASTM (American Society for Testing and Materials) has protocols that are used worldwide, not just in the US.