The guy who made that website now sells a guidebook (so he removed the trail info). However, about half of the trails were caught by the "wayback machine" so you can still see some of it. You can also meet up with the Redding Mountain Bike club on saturday mornings. They meet at 7:45 at Sunset Market (right off 299 on the western edge of town). This Saturday they're doing the Chimney...
http://web.archive.org/web/20040415051331/www.geocities.com/mtbikewhiskeytown/pages/whiskeytown.htm
Your description of climbing fire road and decending singletrack makes me think of 3 trails in particular:
Recliner (my personal fav)-- Intermediate with ~2 miles of fireroad climb + ~.5-1 mile of wide singletrack climbing.
Chimney -- Intermediate with ~1.5 miles of wide singletrack climbing (if you start from the trailhead rather than at the brandy creek parking lot). If you start from brandy creek you have another ~1.5 miles of fireroad climbing but can ride back down the singletrack brandy creek trail (aka icebox).
Couch -- Advanced Intermediate fireroad climb (that gets steeper/looser toward the end) followed by adventuresome singletrack. Personally, I havent done it in years as it requires a pretty fit rider...
I also would have to throw in the oak bottom/tower grave trail into the recommended rides. It's mostly flat singletrack with a short challenging switchback climb. On that webpage I listed, it is a combination of the Oak Bottom trail and the "el dorado mine." I've never imagined doing one without the other, they're individually too short (combined they're ~13 easy miles).
As far as clickapudi, that trail is in the Shasta Lake area. I'd say its for advanced beginner riders (or better). There is very little climbing -- its mostly smooth rolling singletrack. However, there is ~1-2 mile section backside that's fairly rocky/bumpy (not really "technical" though). If you are an advanced beginner you'd do fine, but it wouldn't be the my first choice to take someone on their first off-pavement ride...
You also might try the Weaverville Basin trail system (~30 miles west of wiskeytown). If you choose to do the "12 hours of Weaverville" trail, you'll do a steep fireroad climb of ~2 miles followed by 8 mostly flat or downhill singletrack miles.
