Questions about soloing and healing and leveling.

[Anova]

Scholar sounds like it might be a good fit. There's an initial learning curve to control the pet, which the White Mage doesn't have to handle. However, it really is a minor thing and you can do very well without micro-managing your fairy.

As mentioned before, scholar and summoner share a base class, arcanist, so levels in one translates to levels in the other. You will literally leveling both at the same time.

You'll want to level thaumaturge to 26 and conjurer to 32 for cross-class skills regardless, so it should be enough to give you a good idea of which healer class to focus on.

White Mages can also output a lot of healing and damage for any solo work you want to do. Holy is a very powerful skill, dealing damage and stunning in a wide area. High level white mages can literally run around the map, dot an enemy up, and kite it until its dead. Applying Hots to themselves only lets them shrug off any attack you're likely to come across. You will be slower to kill FATE bosses by yourself, but you definitely won't die except against the big ones like Odin and Behemoth if you're alone.