Captive king Can you improove this position?

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Avatar of Baqueano

https://www.chess.com/variants/custom/game/81465318/0/1
Surely I'm not the first one to have this idea: This position is the aftermath of a checkmate and now white king is captive. But whites have a new army to save their king from blacks' dungeon.
However chess.com engine limitations make this game intrigating. The goal is for the white king to reach e1 square and for blacks to not be checkmated. In an ideal engine, checkmated kings return to the dungeon. But all I can do in this engine is to set the rules to taboo, hence check is forbidden for both sides. An improovement would be to make the whites immune to checkmate (until at least the king reach some advanced row) and may be separating the goals so that only whites can capture the flag. The practical solution I'm wondering: Is there a way for an unroyal piece to capture the flag? (So it can't be checked in the process)

The problem with taboo is that makes kings too powerful, and without taboo that it spawns a war for the B3 and C4 squares and makes that the whole purpose.

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