Goats eat most anything. A friends has two and told me the truth about goats and Poison Ivy. True, they will eat it, but they'll eat most everything and they'll dine on the other stuff first. So, it may or may not work to borrow (rent?) goats.
If you buy goats thinking they'll do the job you'll stand a better chance, meaning keep them in the area where the ivy is but here's the rub, the goats will be covered with ershoil<sp>, the oil from Poison Ivy. Touch the Ivy and you're screwed, touch the goat, you're screwed. Not sure where the win is here.