Your drawing shows a CQR in the example.
The "Flip link" shows the distance from the windlass to the anchor allowing the length of the flip and some chain in between. Not may bows have that distance available, so that is not likely an option for you.
The CQR has most of the weight on one side, so as soon as the first 1/2 of the stock is above the roller, gravity forces the weight of the heavy head to turn the whole anchor and solve your problem. That is what happens on mine.
Maybe you should look for an anchor with that uneven weight distribution. I don't know what other anchors will have that, maybe Bruce, certainly CQR, so maybe others.