</font><font color="blue" class="small">(
I think my biggest problem right now is that the blade works very poorly in reverse. )</font>
You need to make yourself a 'back blade attachement'
Essentially this is a , say, 1/2" X 4" flat plate that is as long as your plow is wide.
It is hinged on the backside of your plow so that when plowing forewards it flips up and simply follows along.
When you plow in reverse it flips down and acts as hook to scrape backwards.
Naturally you need various cut outs to clear the shoes as well as the moldboard ribs (or bows)
In urban areas this is how the contractors get to scrape clean up to the garage doors.They drive up to the door , drop the plow and back up a little more than a truck length then back up to the door drop the plow and push everything out to the street. (and then push all onto your lawn, or get fines)
I also never use skids or shoes.
On gravel drives we plow backwards to compact the first snowfall into the gravel and afterwards simply plow without shoes.
With shoes you only build up a hard packed base bit by bit until you have a real spring thaw mess of bumpy slushy rutty surface that you will be forever hated for.
Most guys simply weld short 1/2 x 2" (4"long) flats on back edge of the long flat backblade to coinside with the ribs or bows of the mouldboard.
Drilling the ribs and flats make for a hinge using appropriate bolts for hinge pins.
Sure you get the idea.
Good luck.