You should really do the hunting logs. Don't worry about them being "out of the way" (i never found them to be) They give a huge chunk of exp. When i've been leveling my side classes, the hunting logs are probably the biggest source of easy exp i've found. You get a decent chunk for each entry you do and then a big whooping chunk for finishing a list. If you are behind on the logs, doing them all up to your current level should really give you a nice boost.

Also remember every class has its own hunting log, so unlike quests which can run out, you can hunt with every class and get that awesome exp.

Aside from that...fate grinding. I've been doing it a bit and I'm pretty bored of it already. It is good exp though. Maybe do some for a bit then take a break and do something else so you don't get burned out on them.