In 3D view - right click your mouse - Set Window Size - Keeps Proportions - 5000 or so x 2570 or something like that. Then Alt-F7 ( Save Veiw and Place on Layout. Then Resize the drawing manually to what ever size is about right - then use Ctrl-T ( Drawing Selecton Settings) to edit the size to something rational and exact.
That way the drawing will display much clearer, and it will still be a linked drawing to the model for the sake of updates. Making things smaller than origianl size makes them clearer, making them bigger makes them fuzzy and in your case, generates all that black background you don't want to see.
This is not a fix for your specifc problem but you may not encounter the problem if you are making the images smaller rather than bigger. ?
Also, you can make the 3D window very large and save that as a
3D Document for more contorl of the graphics. They place the 3D huge 3D Document on the Layout and Resize that manually, then edit size a bit in Drawing Selecton Settings. It will Update as well as a live link.
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