I bought my wife a Rolex Air King 34mm white dial, oyster perpetual with oyster bracelet at RM16K. Model number 114200. I know that this may be 1K over your budget, and it was a little over mine too. But the size, fit and classic looks of a Rolex is unbeatable. She is plenty happy with it and I hope that this helps narrow down your search a little. BTW, I bought it brand new and not used.
DC