I just wish to add my personal experience.
Me and my wife met via a shadchanit, and from the second date on took everything in our own hands (being BTs both, that’s obvious). We met 12 times before we got engaged, and we met at least 20 times after that as well. We never touched each other even for one second during all those times. But we really got to know each other, and when the big day came and passed, we really didn’t have much to fear and didn’t have any uncertainties.
I feel that we did it exactly the right way. Perhaps others should also davka continue to meet after getting engaged. The traditional way is that once the decision has been made, after the vort, the couple do NOT meet any more, at all, until the chassunah. If they were to meet, and behave in a responsible way, they would get to know each other much closer, and would still be able to decide to cancel it all if they discover they made a mistake and really shouldn’t get married. Now of course breaking off an engagement isn’t much fun to say the least – but isn’t it preferable to divorce in the first year?!