Keep document centered after cropping (not using the crop tool).

When I am editing a lot of photos and I need to crop an image, I usually use the non crop tool.  When I'm done, depending on the size of the document, I have to use the slide bars to move the image back into center view.  Seems to me there should be a "return image to center after cropping".  Adobe help line suggests I use the crop tool which will keep the image centered but then that creates another issue.  If I want to just save that newly cropped document back to a .jpg, I have to flatten the image which creates another step or thing to do.  Then Adobe suggested to use the crop tool to keep the image centered and then just save it as a copy.  Well then that created yet another issue, you now have 2 documents, the original and now a copy.  I don't need or desire another copy, I'm just lookig to keep my cropped doument centered on my screen without needing to add any more mouse clicks, or copies, etc.  If it can't be done then I'm Ok with that but this doesn't seem to be that difficult for Adobe to look at or improve.  If there is a simple way to do this (like in the preferences) then I can't find it and the Adobe online help person I was working with must not be aware of it either or else the person would have shown me that.  Maybe I am the only person who would like to see this and it's not worth Adobe's efforts - I'm OK with that too.  So the best thing to do is make this recommendation and see what happens.