Survey complete.
Here's my two cents after lugging my bike up a few hills that weren't meant to be ridden up.
A simple webbing shoulder strap can be rigged across the top tube from head tube to seat tube. Then carry the wheels in your hands. Strapping the bike on the back of a backpack would shift the center of gravity much further back and require you to carry a much heavier, more expensive backpack with a frame and hip belt.
On this route I linked up an old (no longer legal to drive) 4x4 road, to a trail less ridge over 13,000 feet, into the Colorado Trail.
The route up to the ridge, and the ridge itself required extensive carrying, for which I used the shoulder strap method with wheels removed. At one point I had to toss the frame and wheels up a snow wall (old cornice) taller than me, then chop steps in it with a rock, and climb up after. On the ridgeline, I had to go up a steep talus field as well, the kind that moves with every step, while carrying a bike and trying not to drop the wheels!
Have fun with your project. Learn to use a sewing machine.