Can I approach the "rules committee" your Honor?
There's a whole lot of precedent for groups of cachers doing these so called "power runs" or Centum challenges to sign in under a group name. It saves time, doesn't waste space on the logs and certainly seems to be in the spirit of the game, at least to me, the non-purist, I guess.
But there will be those that say, "no log, no find." Damn, it's tough to figure out if I'm doing it right, but by golly, I'm having a ball actually getting outside and doing an occassional cache or two!:D