Murray, you are my tormentor!! However, I used ambiguous weasel wording, when I said "the melody" which I meant to mean the "A" melody, which is the more predictable part--and yes, you are right, the Gmaj7 will do it, though I added a 9th to it, which gave me what amounted to a mixed chord, that is to say, a G chord that was combined with a D chord in it--

Here is the fingering for this G chord--
7-X-5-7-7-5
However, this is a bit difficult, especially on acoustics and 12 strings (painful but not impossible, you barre across the 5th fret) and you can play it in D rather more civilly, with just 3-X-O-3-3-O
For the bridge, you just move at a strategic point to the major seventh chord a full step below (in G, to Fmaj7, in D to Cmaj7) you can figure out where to change, and where to change back yourself(even if you are wrong, the whole concept is so far out that the damage will be minimal)--

Admittedly, this approach to the song is not for the faint of heart--and Marion, you are right to focus on the long notes at the end of each each phrase--I kind of sing the first part almost parenthetically, (blue)MOOOOOOON!(you saw me standing a-)LOOOOOONE--etc--and more or less just try to find a way to make it work--

At any rate, this should be a warning to you all as to how my mind works!!!