As usual,
Canyoneering is very reliable. But here are my notes and observations on some of the tricker parts.
About 1 hour up Calf Canyon, after passing up Pine Canyon, you'll reach the "double caves" - two tall, shallow caves on the left side of the canyon. Immediately past the caves, go up Cow Canyon for about one hour.
The canyon divides again. At this point it may be confusing as to exactly which junction you are at. The lefthand canyon is not the main canyon, and veers back almost the way you've come. But you'll take the righthand canyon, marked by a broken cone/spire-looking structure further up inside the canyon, on the righthand side.
After this, Allen says the canyon divides again, but, as a subjective observation, the canyon to the right looks more like a gully that ends in a box surrounded by steep cliffs. Nothing you'll accidentally go up. At any rate, immediately after this divide/side gully you can start angling up the slopes to your right, eventually finding your way to the Class 4 climb up a chute, and then to the canyon rim.
If you want a better view of the route up to the rim top, don't begin climbing right away. Instead go up canyon and even angle up the slope to your left for a better view. You'll see a doable route where the canyon rim at the very top has broken up. There's a large tree at the very top of this broken section.
I plan to go back and complete the hike -- it bugs me to leave unfinished hikes :-) So revisit this page sometime later... or, get Steve Allen's guidebook for the rest of the details.