I thought Donny had the "X-Edition" version? Looking at the fourth picture here http://www.vtx3d.com/products_features.asp?id=162 it appears to have a crossfire finger!
apologies, that's the 7790 X edition - the VTX page doesn't seem to list the 7770 X-Edition!
OK, so there are 2 VTX 7770 X-Editions: this one:
http://www.vtx3d.com/products_features.asp?id=133 definitely has a crossfire finger, this one:
http://www.vtx3d.com/products_features.asp?id=118 may or may not, I can't tell from the picture (or find a picture on Google to confirm)!
AMD cards have been able to do crossfire through the PCIe bus only for a fair while - the reference 7750 was specified without finger/bridge, for instance. I'd always assume it was a performance-based decision from AMD - presumably the more powerful the card the closer the PCIe bus gets to saturation, so the greater the benefit of a crossfire bridge.
I think the bottom line, OP, is that whether your card has a crossfire finger or not, crossfire should still work
Although as I said previously, I'd be concerned about running bus-only crossfire through an x4 connector....