[thejeff]

There are a couple of other weirdnesses with Monthly Site searches.
Mostly tracing to the target being chosen as soon as the mage casts his spell. Provinces searched later in the casting sequence can be chosen. Provinces taken that turn cannot be chosen. Provinces lost that turn can be targetted (The search works too)
And the standard problem with monthly rituals, that gems are allocated to them before gems are collected from sites, so you need to have enough gems left at the end of the turn for next turns monthly rituals.

I'm not sure about the Akashic. It should at least prioritize based on the number of paths already searched.