A solid, conservative church. Best advice in the world. Especially if you ask them to arrange the relationship for you.
Keep in mind, they set it up, you court the person, you make a choice and a commitment, typically after a few weeks or a couple months.
Think I'm crazy? There are a couples in my church (and other couples I know) who very happily vouch for it and strongly recommend it!
I will take issue with only one part of what you asked, though. Ideal mate? No such thing. If you find an "ideal mate," stay away from them... or you'll ruin their life. LOL
Love is a choice you make and an action you take, not a feeling you follow. The feelings and attraction will be there, but your commitment and action will actually keep those feelings alive (and might even initiate them), not vice versa.
Wanna do it the world's way? 50% of marriages now end in divorce in America, where dating is ubiquitous as the method of choosing a mate. Flip a coin - heads or tails. Do you want to base your marriage on the flip of a coin? Heads, a life of joy, tails and your marriage ends in catastrophe and pain? Take out a coin right now and satisfy your curiosity; flip it, call it in the air and see. Were you lucky? Does your marriage end up dead, or alive?
You can live according to the world, or you can walk according to the will of our Creator, who knows a lot better than we do what works and what is right. Arranged courtships aren't foolproof, because they involve imperfect human beings. But they are a darn sight better than what the world has to offer.