I know SAGA Edition does not convert exactly into Edge of the Empire and I'll have to eyeball the Stats, but I am looking for some insight into what General Tarfful's SAGA Edition classes might translate into in FFG Star Wars please.

In SAGA Tarfful was: Wookiee scout 3/ soldier 4/ noble 5

Character write up here: http://starwars.wikia.com/wiki/Tarfful/Legends

SAGA stat block here: http://titanorc.tumblr.com/post/175284991758/from-clone-wars-saga-edition-rpg-book

I know these classes exist as FFG careers, but a straight convert does not seem right for the Wookiee General.

This really depends on whether you are trying to make him as a PC (with Career and Specs) or as an NPC/Adversary style build.

With the Adversary/NPC style build, Careers and Specs are not used, just assign Skills/Talents/Attributes as you see fit.

+1 to @Jareth Valar . As a Nemesis, you can build Tarfful to have whatever skills, attributes, and Talents you like.

If, on the other hand, you're trying to recreate him as a PC for some reason, you need to decide what you want his focus to be. Do you intend for him to serve in the front line of the fight? Soldier career, probably the Vanguard Specialization with a dip into Trailblazer. Do you want him to focus on leading his troops and managing the battle, inspiring others? Commander career, probably the Tactician Specialization. A bit of Strategist if you're using the Mass Combat rules, and a dip into Figurehead would equate nicely to his Noble levels (do Wookiees have nobility? They always struck me as a meritocracy). If, on the other hand, you want him to focus more on diplomacy and less on physical combat, the Diplomat career and Ambassador and Agitator Specializations would be my picks.