Alex, sorry, but it's a bit funny to describe taking a Griffin Conservatory with Flax in detail. For my part, I'll say that with an army of 4 birds, 90 fairies, 4 psychos, 20 storm elementals, even without tactical tricks, I just brute-forced the Conservatory without GS 2 times out of 3.
Let me make you a save with the army you described, and you show me how to take a max Conservatory with GS with acceptable losses.
As for other factions, I think I wrote how to take a max Conservatory with Inferno, without Slow. If you have it, then it's almost lossless.
For example, why did you decide that taking a max is easier with Rampart than with Inferno? Is it only because the hero needed is weaker?
1) The main killing stack is elves - they take out almost 80-90% of griffins and can do that in about 6 rounds, unlike Gogs
2) 9 dendroids as meat shield better and hold off the opponent longer than 9 pit fiends
3) Centaurs and Unicorns are more durable and effective for covering the elves in the corner
than imps + efreets
4) It doesn't matter on what terrain the Conservatory is, and the presence of a Grail stack and turn order - also doesn't matter, and Mass Slow is not needed.
But an Inferno hero on grass will not move first, and that can screw things up - how would you deploy so that the king griffins don't hit the Gogs on the first turn?
For Rampart, I know a deployment where the king griffins don't hit the elves.