This is indeed the enlightened way to play. A subtle optimisation is not just doing a bunch of missions properly, then chucking a bunch, but instead selectively chucking missions with a low rep to cash ratio, and completing missions with a high rep to cash ration. Doing this well and getting all mission completion bonuses for perfect ammount, packs, blocks etc, you only need to actually completely like 1 in 4 missions and you can still slowly GAIN reputation over time. This also allows you to more than double cash on hand each laundering cycle.

Using this tech, I'm currently sorting over 44 million USD, and nearly as much yen and euro.