To answer the original question, I doubt that there are manageable equations to deal with a simultaneous tilt and swing. The spatial geometry is quite complex and not easily described by the two angles. An acceptable approximation could be to use the tilt equation independently on both axis. In fact, working independently, and sequentially on both axis is what I have found the simplest with visual methods. Personnally I prefer visual methods based on the GG (as explaned in great detail on the LF page). With the use of a simple gizmo (a ruler) these methods are technically optimal rather than relying on guesses.
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