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It is easy to prove this game is lost for the Maharadja. Replacing it by a Queen will only makes matters worse.

The proof consists of a sequenc of black moves that go through positions wth constellations of black pieces that satisfy the following conditions:
1) A Maharadja can only check the black King from squares that are attacked by black, wherever it would be on the board.
2) All black pieces other than King are at protected by at least one other pieces, or:
2b) if there are any unprotected black pieces, a Maharadja can only attack them from squares attacked by black.
3) Pawn moves are done only to squares that were attacked by black  before the Pawn moves.

Condition 2b is needed to make the initial position satisfy the conditions: The Rooks on a8 and h8 are undefended, but because of the Pawn shield the Maharadja cannot attack them through Rook or Bishop moves, while the squares at a Knight's jump distant (b6, c7, f7, g6) are all defended (by K, Q, Pa7 and Ph7).

Using such a sequece of moves, you can finally create a black constelation where every empty square of the board is attacked, meaning the Maharadja must be checkmated at that point, if not before. There is just nothing it can do against it. Condition 3 makes sure that the Maharadja never can block any Pawn moves. Black just follows his own plan;