--is that the other IgA tests would probably not give accurate results for antibodies if total igA is low.

Still the IgG anti-glidain result implies there is antibody activity to gluten. the anti-gliadin test is the most sensitive but least specific test for celiac/gluten-sensitivity. Since a gluten-free diet does not have a downside--one can't HURT oneself by eliminating gluten from the diet and eating other things--it might be a good idea to go gluten-free anyway, and see if symptoms (whatever of those there are--you didn't mention any) improve.