D-Drives are not operated in j-space or while not accelerating. You can have M-Drives on your mobile mining station and move it as you run out of asteroids in your local vicinity.
See below. Space Stations are designed and defined as being mobile. "Station" is a hold-over term from ground-based stations, such as Train Stations, Research Station, Hamburger Station, etc. Just like a shuttle didn't always mean a space shuttle. It also meant airport shuttle, hotel shuttle, etc.
...and also will disintegrate when you shoot at it, because what you are describing cannot survive combat, which these stations must be able to do.
Also, from wikipedia,
en.wikipedia.org
"
Space stations are not stationary buildings unlike normal research stations on Earth, they are specially created mobile
spacecraft that are built to allow a group of human
researchers and crew to inhabit over a span of anywhere from months and even a year.
[19] Space stations are intended to be permanently operating in space unlike other kinds of space craft such as
satellites."
So, it would seem that both reality and common sense disagree with you.