I once started a thread here about a goral system. After a girl or guy is 30, or whatever age, or has dated for 10 years without success, they can enter a goral. One pays half the cost of a chasuna to enter, and they draw a name of another entrant. If you get married, they give you your money towards the wedding (afterwards). If you refuse, you lose your money, and cannot enter again.
(Shadchanim would prescreen applicants to make sure they are not criminals, and have good recommendations, etc.) But you get no choice in the matter. Whoever is pulled out of the hat is yours.