It's easier than you think. No amount of programming (in InDesign, or in Acrobat, or anywhere else) can make your printer do things it was not meant to. That includes "printing all the way and possibly *over* the edge".
So how do other people do this? They *have* a printer that can print edge-to-edge, or they print on larger paper so they can manually cut off the excess and see what the tesult looks like. (At the office we do the latter, for A4 on an A3 printer.)
Also bve aware that Acrobat by defaukt will fit the page to the sheet meaning it will shrink your 8.5x11 to fit and 8.5x11 pieace of paer but with the border so in order to do that it has to shrink the actual size.
You have to select in the Acrobat Print dialog the second option under Size, that option is actual size.
That however will only work if you have borderless print and you have to use the minimum expansion option in the printer drivers.
Here it is with the option fit
Here it is actual size so you will still need to be aware even if you have a borderless printer.
If you do end up using a borderless printer then be aware with minimum expansion and actual size options you still want to add bleed tot he document itself and you have to do this in ID.
BTW I know that might be dummy copy on the letterhead but just in case it is not anbd the addresss is supposed be correct. Then thge Zip Code is definitely wrong.