I think club teams competing agianst other club teams sounds interesting but standards would have to be created. A couple years ago there was a Northern Rockies Disc Golf Challenge held in Hot Springs, MT, that consisted of various teams from the region. The format of it was such that it included both teams and singles. I'd need to talk to some Garden City Flyers out of Missoula more though to get more details.
Here's the link to the info on the GCF website, the event was in 2010 I believe