The Moogle-Crafts are so easy, that any Crafterclass will be able to do them without cross-class-skills or any indepth knowledge of crafting in general.

Fastest (and easiest) way to level up a crafter would include:
- do your daily GC-turn-ins - lots of exp!
- leve-quests
- Ixali-dailies - finish them and you can buy a mount and two pets aswell! Those are going to be a bit harder than the mog-dailies though

You can pick any class you like, really - but I would recommend GSM, weaver or LTW, assuming that SMN is indeed your main-class. That way you'll be able to repair parts of your gear yourself, something I find very useful!