I'd suggest
http://pw2.netcom.com/~sorudne/twmc.html ; a true family enduro club; we're coming up to being a members for 2 years now, & several (six?) DRNers belong too. The events are outrageously fun for everyone - ask the DRN members who have recently joined. A special effort is made so everyone has something to do.
One in particular, they had a household goods demonstration, jewlery display, kid's/mom's/*** race (different courses!), pot luck, ice cream, night poker run on Sat., then an adult enduro, kid's crafts on Sun. There was always something going on. Things get less active during the winter months, but you can always count on several campfires & friendly, helpful conversation.
The next event in late January near Jawbone Canyon (just north of Mojave) is way less of a drive for you than the UEA enduro (let alone it's a lot of $). On Saturday afternoons they have a kid's/***/gal's loops & classes - perfect for beginners & well tailored for various skill levels. Sundays are for those of greater skills - AMA rules (& of similar caliber/format) but card/membership is not required. Jart-like charts are available. PM me for more deatails.
I'd be happy to have your family as my guest, but have injured myself and will be taking at least a few off - perhaps we'll man the checks but certaily not enter nor be there the entire time. As other DRNers would certainly be in attendance, perhaps they can assist - give them a few days to find/see this post, or just come out to the event Jan. 26/27th. The club members are friendly & helpfu.