How can I make the model produce a particular amount of net power without iterating on gas turbine loading or duct firing?
Because the net power is a computed output, dependent upon the parameters you cite, it is a candidate for use as the target value of GT MASTERs Control Loop, which you can invoke from the menu bar while in the GT MASTER input screens. The computation is still iterative, but it lets the computer drive the iteration for you in an automated way.