Man, its been years since I removed mine but I also think the clips have threads on them and you access them from the back side after you remove the interior panels.
Going from memory, on a hardtop there are screws that can be accessed after the side gl*** is removed same as the doors. I do not recall spring clips on this trim.
IIRC, the Bel Air below window trim is held with screws driven through the whisker strips and a clip at the front of the trim. The curved "C" post has clips that snap in holes, but I'm pretty sure it also has a single stud clip and the nut is accessed through the trunk. Trim above the window is also held by snap-in hole type clips. As rfraze mentioned, the (repoped) 55 Chevrolet ***y manual is invaluable.
I don't think the Fisher body stuff is in the ***embly manual... Standard procedure is to remove whatever is in the way, so you can get your eyeballs up in there, and see what is holding it together.
The tricky part of trim on these cars is that sometimes you have to remove a different piece of trim to see the "hidden" fastener on the ones you want to get off. My first experience with these cars was a Belair 2 Door Hardtop. Get the book, whichever one it is. I imagine that all cars wearing a lot of stainless have their little secrets and special tools. Reverse the order when putting it back on and do not forget to weatherproof the fastener holes properly, like with that black rubbery rope sealent.
Back window molding simply snaps in/out. The front windows (if I remember correctly) snap in/out, but are also attached (only) near the ends (two on each piece of molding), with threaded clips.
Think you are right. It might be a Fisher Body Service Manual you need. Dealing with the difference today on another project.
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