I don't know peel from shake,,but from looking at the pics,,I'd first take the bbl & the trigger mechanism out of the wood and have a good look at how things are put together.
That crack on the inside as it looks in the first pic if I'm seeing it correctly is wide open being held that way for the pic with a wedge of some white material.
That is a very long crack.. all the way from the breech end of the bbl to back end of the lock inlet on the inside. Probably extends farther.
I would suspect how the bbl and plug are inletted as well. Plus how the trigger plate and all the other parts are seated, the tang bolt fits (if it is canted or fits smoothly down thru), how well the breech plug is inletted,,,all those important things.
Poor inletting and them just squeezing the parts together with the help of the fasteners can simply crack the wood. We all know that.
Here's stock that hasn't seen use yet , so why not do some careful lookin' and fix things before they take over. Then your are just trying to catch up.
The trigger shouldn't push on the sear bar with any amt of force. There should be some play betw them.
Take some off of the trigger blade.
If you want a truly silent trigger w/no take-up, then fit a simple light weight spring to the trigger itself to give it rearward tension .
That 'little flakey crack' (technical term) on the top is the least of the problems to be tackled. That's an easy fix/cover up.
It's what has caused it and to fix those problems and any others hidden in there first.