There are subtleties in integrating a moon into a landscape.
A key point is that the moon disc should not be overexposed otherwise the "man in the moon" pattern burns out and the blank disc looks like an anaemic sun. I reckon the moon should be placed no higher than Zone VII or maybe VII + 1/2.
My filter kit includes grad ND filters but it also includes a grad red. The grad red boosts the contrast of the moon disc against a blue sky while the grad ND does not. Even a one degree spot-meter cannot meter the moon directly because the moon is only 1/2 a degree across but all is not lost. I spot-meter the sky right next to but not including the moon (allowing for filters, of course) and then measure the sky including the moon . When the "moon" reading is 2/3 to 1 stop above the "sky" reading then the moon will fall one Zone VII or very close. In practice I find that the time of day when all the light values fall into place, even with help from filters, is no more than a few minutes.