Please stop with the "Scholar is ST and WHM is AOE healing". If you are working like that with your healer partner, then you aren't getting the most out of what each of you can do.

Anyways, I solo healed titan 3 times now, each without a bard and at least 1 or two carried slots. It's pretty fun doing it and it really has shown me the limits to my job. Basically I learned to leave the big boy heals to my WHM buddy.

One thing you should be doing as a SCH is making sure a bad situation doesn't turn into a worse situation. That's really your focus. There is no need to blow all your lustrate stacks because the tank is low, my WHM buddy can crit for 3.5k on cure 2, he got that part covered.