Thanks to both of you... I've done a little Google searching, which is how I came up with the government report showing the BuNos of the two Corsairs that Capt. Moses was shot down in. Ironically, he was shot down once, rescued by helicopter, then went out on a second mission and was shot down again.
There are a few useful pictures of VMF-323 Corsairs in August-September 1950, so I know for example that they were still using the rattlesnake on the nose at that time, but none of the photos show me the specific airplanes I am interested in (not too surprising really). As far as getting a look at his logbook, that might be a remote possibility - I'm not currently in contact with any of his immediate family, if any are still living, but I could look into it when I visit South Carolina next.
I bought the Academy 1/48 kit at my local hobby store, because I thought it had VMF-323 decals based on the box art and some references online, but the one I got only has Navy decals (doh). So, since I'll have to track down a decal sheet or another kit anyway, I expect I will do one of two things: either use the appropriate decals as-is, since they represent a real airplane that Capt. Moses might well have flown, or "decal-bash" them with the correct BuNo and a made-up tail number, and just accept that there's probably no way to know for sure (for now).
Oh well - I have some building to do before I get to the decal stage anyway...