Hi Richard,
The Moon and ISS are the same distance from the Sun, broadly speaking, so the irradiance level is about the same. The ratio of apparent brightness is therefore just the ratio of the reflectivity/albedo of both objects. The geometric albedo of the moon is ~0.12. Solar panels are usually designed to have low reflectivity, but even those typically have reflectivity higher than 0.12, although the ISS solar panels are probably better than most. The rest of the ISS will be significantly higher in reflectivity, particularly the radiators. This is consistent with the video shared above. So, in summary, the Moon will be about the same brightness as the ISS solar panels and less bright than the rest of the ISS, so as Winteria suggests, under-exposing the moon is correct.
However, this assumes that the ISS is illuminated by the Sun from your perspective! Most of the time it will not be illuminated and you should expose the lunar surface as normal, because all you will see is a silhouette. Here's an example of the latter (not by me!) - https://www.youtube....h?v=TPyH-hgvwds