what do you think about adding two more gears and doubling up the chain?
If it were mine ... and I own the same model ... I think the sensible strategy is just recognize that this or any 3-point backhoe is a light duty implement.
This isn't the same thing as a chassis-mounted hoe. It doesn't have down pressure beyond the weight of the implement itself. It doesn't have the strength to lift a tractor that has locked brakes, to move along the trench, and it will bend the tractor's 3-point arms if you attempt to drag the tractor sideways. (BTDT

).
For me, when I became familiar with its capabilities and limitations I just decided to operate the hoe gently. Specifically, what breaks that swing chain is swinging to one side then moving the swing control in the opposite direction while the arm is swinging at maximum speed. If you can avoid this inertia effect the chain should stay intact. The only hoe action that has as much force as you expect is the bucket curl. Other actions such as trying to use the arm as a crane aren't gong to be satisfactory; the lifting force is designed for nothing more than raising a bucket of earth. I assume these limitations are to minimize stress on the tractor's 3-point components.
Another issue to watch for was quoted to me by a dealer who said he will never sell another 3-point hoe after one that he sold destroyed a tractor: He said its too easy to break a tractor in half at the bell housing if you don't have a sub-chassis similar to a frame mount hoe. (
I have this). And he cited several examples of the back ripped out of a tractor's transmission housing, caused by driving too fast over bumps.
I get good use out of my BH but I recognize that unlike the Yanmar tractor, it is possible to use this in a manner that can destroy it.
Aside from digging, here's a project where in effect a simple shovel that has 24 hp behind it made possible a project that no one had attempted in 50 (?) years. This terrace of orchard trees can't be disced (too steep) so it eventually disappeared into a jungle of blackberry bushes. Note the grotesque shapes, those limbs have been reaching for daylight for many years. It wasn't obvious what was in there. The row was impossible to prune or harvest. A morning spent ripping out blackberry canes with the BH uncovered several good trees that are now accessible for production.