-Travel blogger requires travelling. Pay isn't great though.
-Analysts and regulators can do a lot of travel, especially when they work for govt agencies. Professors and authors can travel a lot for conferences. You can even start doing this as an undergrad student in pretty much any field. You just have to be interested in doing research and publishing it.
-FBI and CIA have positions that travel a lot.
-The armed forces, especially the navy, do a lot of travel.
-You might get to do some pretty unique travel as an astronaut. Not in high demand though.
-Airline pilots.
-nature/urban photographers
- palentologists
-archaeologists
- tour guides an give multi day tours
-border patrol
- professional athlete
- professional gamer
- actor
- dancer
- sound, lighting, effects specialists
-directors
-Boat captains, cruise ship personnel.
- Park and forest rangers can be assigned to areas encompassing hundreds of miles. There are also sites that are scarcely more than a building and the grounds around it though.
Generally the more of a specialist in something important, yet niche you are, the more travelling you'll do. A lot of these careers take a lot of experience and time in the field to finally get the good positions. Some like academic, or navy sailor could see you travelling as young as 18 or 19. How old you are, what skills you have, and whether you're willing to put up with 4-9 years of tertiary education will tell you which of these are available to you.
Travel isn't impossible regardless of your career though. When you have a day off, drive someplace cool, explore it, etc. If this seems expensive, ie you want to go somewhere overnight, consider getting a tent and camping (and pack food instead of eat out). I wish I'd picked a field I was passionate about and put a solid effort into it in college, or better yet, starting in high school. You sound young enough to pick a direction and go in it. Good luck.