How can I save the kidnapped daughter while keeping my money?
Solution 1:
Yes walk up to them and use intimidate or persuasion. Tell them they have to send the girl to you first then you'll give them the money. Once they do that you just kill them/pay them.
Listing at the wiki
Can someone editing the questions tags and mark it as Dragon Age: Origins - Awakening. As it's a quest in the expansion not the original.