Plenty of lube inside?
right inside the frame, above the rigger, is a rectangular "box" with a spring in it. It pushes the trigger back into position. I think it's called a rebound slide???? It's been a long time since I had my M29 apart. I do remember the action is the same (except for size) on my 586.
Anyway, first thing to try is some oil on the spring inside that slide and the slide outside surfaces where it contacts the interior walls of the frame/sideplate.
Even if something is dragging a little that may free it up enough to "wear in". If you take that rebound slide/spring out I think I remember it being a little aggravating to get back into place so just lube it first.
Make sure you've got the right sized screw drivers/blades as you don't want to mess up the slots/heads on those screws. It makes a really nice revolver look bad.
Fun to shoot, too. Accurate and smooth. If you look in the dictionary under the word smooth, the older ones have a picture of a S&W M29 (just joking, but mine is just unbelievably smooth/slick even compared to my other S&W revolvers.