Either will work. We use quite commonly the expression 'to fish for compliments', a cliche really. I tend to say that I'm angling after something, rather that for something; but that's probably just a personal preference.
Well, really I was aiming at understanding the difference between the two, this owing to my english professor (who is unbelievably gifted) corrected a fellow student of mine during class - who said "fishing for an answer" or something like that. He was told: "no - in this case you should be "angling" for an answer". I'm certain he had good reason to say what he did, I just dunno why. It all boils down to what the difference between the two expressions is, and I seem to understand that when "angling" for an answer one's actively trying to get someone to say just what you want him to say. While with fishing maybe just trying to get some answer out of someone, dunno?