I think more information is required here. I am guessing that Debian sees your sound cards, just not in the order that you want them to be seen. In other words, if you do this command:
you probably see a list of valid sound devices.
Is this correct?
If so, I think you want an .asoundrc file in your home directory, marking what card you want to have set as your default sound device.
Can you paste what aplay -l returns?