Since reading about apomictic fructification, induced by GA3 in dioecious species, I was thinking a little.
Since it worked in a few hermaphroditic plants too, why not try with some plants of the lily family. Many of them need different genes in the pollen to induce fructification..
Some species of the tulips (Tulipa sprengeri) or lily (Lilium pumilum) are able to develop seeds with their own pollen. Most not.
I think we could try to overcome this obstacle of having only one clone of such e non self fertile species by an experiment with GA3. Since it is now easy to be obtained and not that costly.