I have alsa-driver-1.0.10 (but tried many older ones also), and kernel gentoo-2.6.14-r5 (also tried many other ones.) tried also alsa-driver, and kernel builtin alsa. alsaconf does not detect this: 00:0e.1 Multimedia controller: Brooktree Corporation Bt878 Audio Capture (rev 11) even after loading snd_bt87x by hand, alsa does not see it. it does not even appear in /proc/asound/modules!
Please report upstream. May be of help knowing that snd-bt87x does not load cards if they don't carry a subsystem vendor/id that allows the sure identification of the card.
It's id by lspci -n is 00:0e.1 0480: 109e:0878 (rev 11) I also tried the load_all=1 option for the module, but did not help.