Nic, old buddy, you sure have interesting problems. Of course, the rest of us have had our share of wierd ones, too!!
Good job cutting that cable! I used to solder them, but then went to clear silicon caulk. It works pretty well, too.
Part of your problem may be if you have a blob of super glue on the end of the cable preventing it from going through a transition point or around a radius. The glue on the end should be very close in size to the size of the cable, otherwise it may get hung up going through. The tube it's running through is something like 1/4 inch in diameter or smaller so it can get hung up easily. Another hang-up would be if there is an internal "edge" where the tubes were cut for the pan shortening and it keeps getting stopped by that edge. Try putting a very slight "kink" in the cable about 1/2 inch from the end and feed it through again. If it hits something, try rotating the cable while you're pushing on it back and forth toward the rear and see if that gets it by the obstruction. If that doesn't work, see the next paragraphs.
Try fishing a stiff, solid wire through from the back of the accelerator cable tube toward the front. Use something like "mechanic's wire". It is solid, NOT stranded, smaller diameter than a coat hanger wire, comes on a roll and is reasonably stiff. Try either an auto parts store or Home Depot for it.
Pull it out straight for three or four feet longer than you'll need for the distance from the engine to the accelerator pedal. Make sure it's pretty straight on the floor, then take one end and feed it through toward the gas pedal.
Once you can see it sticking out the other end near the gas pedal, pull it out so you can work on it, and attach the engine end of the cable you want to pull through with some quick-set epoxy. You can lay the two wires parallel for an inch or so and glue them together (lay them on wax paper and dab them with glue - they shouldn't stick to the wax paper). Don't get "blobby" with the epoxy, just flow it on and smooth it out. You could also try soldering them together, but I don't know if the solder will stick or not.
Once they set up, have someone gently pushing the stranded cable through from the front, while you gently pull the solid one from the back end. If it gets stuck, gently jiggle the solid wire until it frees. When the stranded one emerges, cheer, have a beer, cut it off a bit longer than you'll need and attach your linkage end.
Hope this helps, and glad the brakes are braking..........gn