I don't think sending one Accepted/Aes Sedai off to find something would be that hard of a hit to them. Especially if they were on a quest to retreive an angreal/ter'angreal/sa'angreal or something of equal help.

Once they learn the weave that was their full potential...as far as Healing goes, at least. There was only the one and it was all-encompassing, besides healing a stilling/gentling, which doesn't exist yet. The only variances was that they could focus more on where they needed to. After that it was just how much they could do, which was more based on their stamina.