This answer seems too simple to be correct, so I'm probably misunderstanding some of the rules, but I claim that I can get
11594 gold
as follows:
Black Turn 1: Place bishops on d4 and i9, and attack the rooks on e5 and h8
White Turn 1: e5 and h8 are only protected by rooks and queens, so rooks will defend. The bishop on e5 is captured by a rook from either f5 or e6 and the bishop on h8 is captured by a rook from either g8 or h7.
Black Turn 2: Place knights on the two squares that were just vacated by White's rooks. These attack the queens for victory. (f5/e6 threaten g7 and g8/h7 threaten f6)
Costs: Killing both queens nets 12000 gold. Killing them on step two loses me 400 gold, and placing two units on each of the first two turns costs another 6.
Is this optimal?
With this understanding of the rules, yes. Clearly, there is no way to kill either queen on turn 1, and both sacrifices are required in order to get close enough.
A variation, to distinguish from the other answer:
Bd4xe5 can be replaced with either Nc8xe7 or Nh3xg5, and likewise Bi9xh8 with either Nj5xh6 or Ne10xf8.
EDIT: Ah! A surprise! How will I get through these pawns?
Black 1: Na7xc8 Nl6xj5 (these knights are paralyzed, but they die anyway so I don't care)
White 1: Since I get to resolve the pawn conflicts, I choose d7xc8 i6xj5
Black 2: Nd7xf6 Ni6xg7 for the win, with same rewards as before!
And if knights are forbidden I'll need three turns (11388 gold):
Black 1: Bl3xk4 Ba10xb9
White 1: j5xk4 c8xb9
Black 2: Bj5xi6 Bc8xd7
White 2: Rh6xi6 Re7xd7 (Rooks have priority over pawns)
Black 3: Bh6xg7 Be7xf6
EDIT FURTHER: Oh dear...
With White interrupting, I'm going to need
11 steps!
What follows will describe half the action, the action on the other side will be a 180-degree rotation.
Turn 1: Place bishops on a1, a5, e1, f1, h1. White counterattacks with b4xa5, d2xe1, e2xf1, g2xhi. Bishop on a1 attacks the rook on b2, and White recaptures with a3xb2. (5 gold)
Turn 2: Place bishops on a3, e2, g2. White counterattacks with b2xa3, d3xe2, f3xg2. (11 gold)
Turn 3: Place bishops on a1 and f3. White counterattacks with Rf4xf3. Bishop on a1 attacks the pawnknight at a3c3, and White recaptures with d4xa3d4xc3. (17 gold)
Turns 4-8: Place a bishop on a1 and capture the piece at c3. White recaptures with the four knights on Turns 4-7 and has no valid response on Turn 8. (47 gold)
Turn 9:Turn 9: The bishop on c3 attacks the rook at e5. White recaptures with Re6xe5. (47 gold)
Turn 10: Place bishops on d5 and e6. White counterattacks with Re5xd5 and Kf7xe6. (67 gold)
Turn 11: Ne4xf6++ (78 gold)
Final cost: 12000 for two kills - 2200 for 11 turns each - 156 for two armies of 78 gold each = 9644 gold.