My new vote: ECDBA.
So E works like this right? This is what I understand from Drano.
We choose the 9 captains(by rank or by election). After the game starts, all captains submit an ranked list of three picks to a third-party to decide what they get for the first round of bidding. If possible, they are all assigned their first choice. If not, multiple picks crash, they get second, or third. If someone end up with nothing then this round is redone. We do it for three times.
Each round, every captain only knows which countries are still available, while others know nothing. This way the captains all know who the other captains are, and in which round a country was picked, equally, while others all know everything their captain know, which is all the same, so all 36 players are informational equal.
And for D I get another teaming. You get a bloc to start from but everyone else does too. Compared to Mitomon's this is even more intentional. Everyone can have someone covering their back and it's easier to help your teammates. However it may sound like a game of 9 countries, each with four parliament members.
1 Genoa, Papacy, Naples, Ottomans.
2 Mamluk, Tunis, Tlemcen, Morocco.
3 Portugal, Castille, Scotland, England.
4 France, Burgundy, Aragon, Savoy.
5 Venice, Milan, Austria, Switzerland.
6 Bavaria, Bohemia, Hungary, Poland.
7 Brandenburg, Saxony, Denmark, Teutonic-Order.
8 Norway, Sweden, Novgorod, Livonian-Order.
9 Qara-Qoyunlu, Great-Horde, Muscovy, Lithuania.