What about dread, is that not also a coherence of belief and feeling -- just a different feeling? You might divert from happiness particularly and look at the James-Lange theory of emotion.
The distinction between exhilaration (a form of happiness) and terror (not a form of happiness) is often not clear until well after the experience, sometimes minutes later, and it can change in memory. A baby might encounter the same experience, say being dropped or thrown (yes, my people throw their children -- deduce what you may :) ) but safely caught, and end up giggling most of the time, but sometimes instead end up crying.
On that basis the theory breaks emotion into an objective physiological component (the feeling as felt) and a component of subjective labeling (belief about the feeling, which is shaped to fit together with beliefs of all other sorts.) So the emotional experience has three aspects, information -- the brain processes the situation and prepares for action, reaction -- that initiates physiological changes, and identification -- meanwhile or afterward we label the feeling.
Retroactively pushing that back on philosophy, I think Nietzsche's strange classification of "happinesses" kind of points out that any physiological emotion can be a form of happiness, given the right labeling. Glee can be fear (both raise gooseflesh), sorrow can be joy (both make you cry), depression can be 'wretched contentment' (both submerge your sense of time and values), 'gaiety/cheer' has something in common with anger (delivering energy, focussing on obstacles and destruction), passion shares aspects with a different kind of anger (energy from wallowing in deprivations and their satisfactions)...