My country (Iceland) has recently cropped some unpopularity by hunting minky whale. Not many, like 30 a year with an estimated population of several thousands around the country. The population of them is estimated to eat more fish than our whole fishing fleet brings to port, but you have the greenies critisizing the fishing as well. (We're one of very few european countries that don't overfish dangerously and it's one of the basic reasons for us not being in the EU).
We stopped whaling for some 20 years period, yet were always branded with the "Whale killer" slogan.
But whale farming.....that's one angle. You'd have to fence off a whole fjord for that. I doubt it is possible though.
BTW, minky whale tastes like good beef with a whiff of some ocean flavour. It's very very good! Greenland whale is also quite nice. Whale gullash, mmmmm.