This morning we started by throwing out all the work we did yesterday, which was frustrating. But the end result was much better, and so by the end of the day we felt pretty good about our progress.
The problem was that yesterday we didn't have a table saw yet. This left us with several options for cutting the insulation by hand, none of which resulted in a very straight cut. We also were stuck in the mindset that we had to insert our insulation into the C-channels in our trailer in layers like a layer cake (this is the method we saw demonstrated on the Tumbleweed DVD). The problem with this is that while the C-channels were 1" wide and 3" off the flashing of the trailer, the weld points along the bottom of each one made the interior channel height more like 2 3/4". We had 1" thick rigid foam boards, and so we ended up cutting two 1" wide strips, sitting them in a C-channel (filling up the first 2" of channel height), and then cutting a third 1" wide strip in half to make it +/- 1/2" thick in order to fill up most of the additional 3/4" of space. The end result was a bunch of wavy, loose fitting strips, which probably wouldn't have insulated the floor very well.
Enter Jeff. Jeff is Sam's uncle, and a builder by trade. He swung by this morning, and decided we could do better. Fortunately, with the addition of a table saw and Jeff's tutelage and assistance, he was right! Jeff had the brilliant suggestion of just cutting the 1" thick foam board into 2 3/4" wide strips, and turning them on their side in order to fill our C-channels. Immediately, this improved the quality of our insulating job 100-fold. He then helped us cut and fit the rest of the insulation into the trailer, and by the end of the day today, we had a very well insulated subfloor.
Lessons learned: use the appropriate tools for the job, and always trust the wisdom of an experienced builder.