I can't find the quotes right now, but I think there's at least two or three statements during Min POV's regarding marriage with Rand. The one that's popping up in my head most heavily is in Winter's Heart, right after they all bond Rand. It's something like, "All this talk about sharing marriage was all well and good, but which one of them was REALLY going to marry him?"

 

So my question is, do you think Rand will end up settling down with only one of the girls? Maybe visit the others every once in a while when the Wifey gets boring?

There is nothing in that POV that indicates that Min was having or had had one of her viewings.

 

I read that passage as Min not having entirely come to terms with something so outside of convention as a poly marriage.

I think it was their western view that coloured teh viewing into marriage, they are all going to marry him

Guys, Towers of Midnight material is still off limits on this forum. Had to remove several spoilers.