This is not me fully engaging in every requirement you laid out here but to note something I use on many TVs to get it to fit.

But first I must note I couldn't find the TV make and model so no one can get the manual and use the same words for the adjustment I use on some TVs. So here goes.

Samsung set have a few options such as Just Fit so i try that. On other sets they call these adjustments by other names but time and again I find the consoles rarely need such efforts as you are trying. Good luck in finding more solutions.