I think I go through this process intuitively. Anyway, you left out straights and you ignored straight-flushes that come up on boards like 2c8c9cQc2d (you started from the lowest card on board, in reality, the question should be "Are there 3 cards of the same suit within 4 ranks of each other" instead of the thing about adding 4 to the lowest).

Also, your full house thing is wrong if the pair is the card of highest rank on board, like on the board AA347, the nut full house is A7, not 77.