Photoshop :: How To Consistently Crop To Specific Pixel Dimensions Without Scaling

I have a set of drum scans of medium format film images. The pixel dimensions of the scans vary slightly. But they all consist of images of the same frame size, with borders around the image (scanned film outside the image.) All of the scans were done at 4000 pixels per inch, at 100 percent.
 
For example, the pixels dimensions of one scan is 10492 x 6907, another is 10390 x 6968, and another is 10483 x 6976.
 
I want to crop all of them to 10200 x 6738 pixels. I want to delete the cropped pixels, and I do not want any scaling to take place. I want to preserve the original metadata (the scanner model, pixels per inch, etc.); in other words, I want to modify the files (or copies of the files), not create new files. The print size does not matter.I've tried several approaches, and none of them let me do what I want:
 
1.) Manually cropping each scan individually does not give me the control that I need for cropping to precise pixel dimensions.
 
2.) Creating a Crop Preset with the desired pixel dimensions doesn't work because using it results in scaling (I think.)
 
3.) Using Canvas Size doesn't work because the borders in the scans are not equal on all four sides. I need to be able to move and position the image inside the crop area.
 
4.) Using New, and Place… allows me to create a Canvas Size with the desired pixel dimensions and resolution, and move the placed images; they will fit without scaling. However, this results in a new file being created, and therefore the metadata is lost.