Oh, what the heck, it's not surf, but they almost never sang.
Vibes on Velvet
http://www.myspace.com/vibesonvelvet
This link points to some fragmentary video from band member Megan Wise's MySpace site, and also their CD.
There's a slightly longer fragment - Walk, Don't Run - here. (The vibes sort of overpower the camera mic.)
I should have mentioned that these folks have a CD. I'm not sure where to order it, but it is certainly available from them. They also have a cut Hit the Bricks on the new NDSA-0020 compilation CD Long Live the New Flesh, which also includes a couple of cuts from Get Three Coffins Ready, plus two from the Royal Aces, and two from the Velveteen Loveseat (one is a vocal).
The only thing like this is maybe Martini Five-O.