Better than fabrication in that way, would be to through-bore the block and screw a thin retaining-plate to the back. Or, it there is room, make the block slightly thicker and give that extension an internal groove for a circlip to engage the outer ring of the bearing.
Since needing a batch and they having to be identical, I would be tempted to make a simple fixture to bolt to the faceplate so the blocks all locate against rigid datum faces much wider than a chuck-jaw tip.
Using a four-jaw chuck risks the “fixed” jaws moving very slightly from one iteration to the next.
Mark each block’s datum corner, e.g. by a centre-punch dot on the “front” face, to ensure equality of assembly even if the bores are a thou’ or two off-centre (as long as the error is constant). One assembly the dots need face in the same direction across the bogie, of course.