Have you tried grafting a branch? That is what the nurseries orchards do.
We do that a lot here but it's a bit late in the year depending on your zone. We do it in February and ideally to graft a pear tree you would need a wild pear tree to do it, or a quince tree (edit : I see that you do have a young pear tree, that's perfect for the job!) And a special balm to help heal the cut. We have about 50 percent success but even if the graft succeeds it take a long time for the new tree to have fruits. It does have way better chances of producing fruits than by just doing cuttings : even if the cuttings do grow you will probably get a wild tree that will not give you the same fruits as the one it came from.I've never tried to do that but I have a young pear tree that I could try it with. I'll read up on it.
We're planning to mass graft the pear tree that's in the horses place in my last post, the tree my partner climbs on to pick pears for the horses. Like yours it give very special pears that are delicious and we can't find the likes of them anywhere.