You're gonna need a little more detail than that. At what power @ what rpm? 350w @ 35rpm is ~95Nm. With a 170mm crank arm, that works out to 126lbs if I've done my math close to right. That doesn't seem in the "pull on bars" range for a 170lb rider though. 750w @ 35rpm gets us up around 270lbs of force. I can squat 2.5x's my body weight, so theoretical one legged squat would be 225lbs of force that a single leg can put out. I've thrown down 1200w (for very short periods of time in a race) and
[email protected] works out to ~233lbs of force. Those numbers seem realistic to me and with the help of adrenaline I can see how I'd be able to do that with an even slightly lower cadence.
Note that these pedaling force calculations are the 'average effective pedal force' which will be considerably lower than the peak force applied to the pedal. The 'effective pedal force' means only the force applied perpendicular to the crankarm, so even if you stand with all of your weight on the pedal your 'effective force' is zero when the crankarm is at the 12:00 and 6:00 position. At the 3:00 position your pedal force and effective force will be equal, and your peak effective force will be near this position.
Because the effective force is nearly zero at 12:00 and 6:00, the 'average effective force' is lower than the peak effective force. And since the effective force neglects pedal forces that are not perpendicular to the crank arm, the average pedal force will be higher than the average effective pedal force.
Another way to illustrate this is if the 170 lbs rider is riding in a standing position producing 350W at 35 RPM, we know he must be producing an average pedal force of at least his body weight or he would fall back to a seated position. Of course the average effective force is only 126 lbs, but that is because much of the force on the pedal is ineffective for producing crankarm torque.
I guess this is a long-winded way of saying that the data produced by power meters isn't going to be very useful to answer the OP's question because the forces calculated don't fully represent the force the rider is producing in a way that is comparable to hiking. What might be useful would be pedal-based force/power sensors with high-speed sampling instead of averaged power.