If You are a Fan of Traditional Final Fantsay... GET TYPE-0!

[LMU Uncle Alfred]

Areym said:
Random encounters? Oh gosh, who still does that shit?

I think you can call up a chocobo at any point in the World Map to cancel out any random encounters.  Or at the very least get a chocobo to traverse the World Map.  Plus there is an Airship to use as well.