Yes the ET302 crew could have done a few things different. But they had 6 minutes
No, the six minutes was the result. Had the PF used electric trim ANU they could have had as much time as they wanted to try a memory item, like turning off the trim system.
Some aircraft do not have a manual trim wheel, this one does. Get the trim somewhere near correct with the electric trim switch and then turn off the trim. As 737 Driver keeps saying, this is not test pilot territory. It is basic flying skills, trim away the pressure.