[@Lexicon] Firstly, you can put together an expedition if you haven't used your action yet. Anything is possible. Just remember that if too many kerns are taken away from the fields, you may have problems; and gallocmen know jack all about plants. They're fighters first and foremost.

Secondly, I'll note that having someone with plant-related or animal-related skills might help you on this endeavor. Being an alchemist is useful here, and your clan bonus will come into play, but that's all Maire has going for her in this situation, I'd argue.

Also note that you may not find exactly what you're looking for. It depends on what's in the area. Do you have an idea where you want to poke your nose? (I'll note that the clan's lands aren't fully explored, just like how in KoDP you could explore your own territory to find things you didn't find before.)

If you DO find what you're looking for, I think an increase in cattle count (I.E. healthier cows make more baby cows that survive) is fair, yes.

And no, you don't need permission from the Council. Your actions don't influence diplomacy or the like (I.E. you're not raiding anyone or making deals or what have you).