Good morning, Mike;
You can find this information in the old Kodak Photoguides; for moonlit scenes at ASA 200, start with 30 seconds at f 2.8. The moon does move remarkably fast and it is very bright. An astronomical "moon filter" is a 4X or 8X neutral density filter. Your chosen exposure might be about right for the moon itself, but I cannot find my astrophotography books right now to confirm it. Bracket. For me, I like to use a 1600 mm lens; it nicely fills a 35 mm frame with the moon. When I use the 1950 mm f 15 or the 2700 mm f 16 lens lens, I am taking photographs of parts of the moon.
Now if only we could do something about our normal cloud layer out here in Latte Land. It is raining right now. An optomist is someone who owns an astronomical telescope in Latte Land. But then, we do save a lot of money not buying sunblock.