I see, yeah that seems like a decent design going through the interrupt. Since your load is static, the responsiveness of your IC interrupts shouldn't matter too much, but if you were trying to drive a high bandwidth load, then it would start becoming an issue. 625kHz or even the effective 200kHz you have control over would be plenty accurate even for something like audio (which wouldn't change faster than maybe 48kHz). You can size your output capacitor accordingly so that if you suddenly hook up a bigger load, the voltage drop is acceptable until the IC can catch up.
Sorry, I got a little caught on other's interpretation rather than what you were actually saying.