Chris,
Had it been my kid (or horse etc.) and you did what you did, you would the the recipient of my gratitude, not the subject of a lecture...perhaps this vet is "not yet enlightened" regarding snakebites.
When I first read about the Sawyer kit here on ETS, I went around the web and other places and did a bunch of reading. What I found convinced me that the Sawyer kit is the way to go.
Hmmm...I'd really hate to be that DVM's familly member that got snakebit.....
Just my two cents, I heartily concur with (and echo) Tackdriver's take on this one.
Regards,
Comanche7