I could be wrong here, but I don't think the rotors opposing directions will negate the torque vectors to the point it will be easier to bump the gyros out of plane. The reason airplane engines are canted at 10 degrees off center is due to the torque vector, but that doesn't eliminate the the gyroscopic precession - it merely prevents it from having as large an impact on the aircraft's tendency to yaw because of it.

A way to find out your chances, would be to look up a twin opposing prop airplane and see if the engine is mounted in line with center or skewed. If it's in line, you're in luck. If it's canted, you're probably screwed (or at least going to have a lot of physical effort to fly your machine).