BS”D
I am both older and single and this proposal of a goral is completely barbaric. It smacks of the Reverend Moon method of making zivugim for his mass weddings.
On the other hand, a goral system for dates between willing participants, where anyone who refused at least a first date with another voluntary goral participant would be out of the game for further proposals, would possibly work.
Polygamy is illegal in our host societies and is also out of the question; it would lead to massive chilul Hashem. Ditto for the pilegesh idea that is circulating in the trailer park sewer section of the Jewish internet.