I'm a healer main normally, but as I've started to become more acquainted with DPS and Tank classes, I've started to realize just how lackluster healing is when you have a competent group.
I don't want some crazy complex damage rotation that punishes actual healing, that'd be ridiculous and counter intuitive. Over-healing doesn't generate a ton of Aggro any more, so there's no real reason to discourage it. Hence why it's fine for SGE's MP to be tied to Addersgall usage.
Here's a couple ideas I had for Scholar in particular since it's my main.
Add in a long-cast GCD spell that does roughly the damage of 1.8 Broil casts at a 5 second cast time. Whenever you do a Broil cast on an enemy with your DoT on it, it gives you a 20% chance to get a buff to reduce that super-broil's cast time to a 100% GCD cast (2.5s at no spell speed) the buff to use this super-broil could last a long time so you have the freedom to GCD Heal as necessary while you wait.
Perhaps this proc could be used on two different skills, the filler super-broil, and another super-bio. An extra DoT that does more damage and can be stacked with your normal DoT, meaning you have a moment-to-moment choice on what to spend your proc on. For this, the buff could stack a few times so you can hold it until the DoT is about to fall off, or just make it double-stack if you don't want it to be too limiting to optimize. I like the idea of having healers double-stack their standard DoTs, but only if there's some more complexity added to replace the timing optimization aspect.

Just this will make it so much more engaging without distracting at all from the healing. As it stands, DPS rotations on healers is as simple as using things on cooldown like Astro and Sage, or using things at the right time like Scholar and White Mage (admittedly, I haven't gotten WHM past 50, so correct me if I'm wrong on that.)