Clear Alodine. Perhaps Alodine 1500 per MIL-C-5541C, Class 3?
I'm not sure that reliable data exist for the loss tangent and dielectric constant. The only electrical property usually measured is the contact resistance for MIL-C-5541C, Class 3 coatings. The maximum contact resistances allowed are:
5000 micro-ohm/sq. in. (after 24 hrs cure at 70-90oF, and
10 000 micro-ohm/sq. in. (as above, plus 168 hrs salt spray per ASTM B117).
See thread332-136478 for more info.
You can maybe figure out a dielectric constant from the resistance, measurement paraameters & coating thickness (extremely thin, I'll have to look it up).
Ken