Besides the rather interesting discussions rg rotation(s)...
The reason for OP's high blood pressure seems to be the above quoted above - a perceived randomness of the SC-drop-out-point in relation to the station entrance. Personally, I approach the station in an arc, ultimately placing me in between the planet and the station, thus usually exiting SC on the 'right' side of the station. What's everyone else's way to drop out of SC infront of the station most times?
Pretty much this, I haven't come up on the back of a station in ages using this, sometimes I am right above it but always in front of the entrance somewhere, my favorite docking scenarios are actually coming straight down the along the face of the station dropping my back end around and timing my upward and forward thrust just right to cleanly slide through the mail slot.
I had one of those last night. Had some illegal goods in an Anaconda and I was coming down to start to bring my back end around and I started to get scanned, went from perpendicular just above the grating to inside the station in 5 seconds, if the flying hadn't been purely reflexive I'd have never made it, it was absolutely joyous.