That is a very broad field. Do you have a specific species in mind?
For example, there are many different jobs I can think of in the equestrian fields which could require extensive travel. But they also required some specialised skills, which are not always learned in a post-secondary environment.
That leads to the somewhat related field of transporting certain animals.
I've never really bothered to post on these types of 'suggest a job where I can travel' as I believe that you have to find a job which is your passion first, and then find the niche which includes travel.
For instance, if you had said that your passion was horses, I would have sugested a role in air cargo or air charter (assuming that you don't have the talent to be an international level competitor or to work in a barn which supports them).