There could be some software that allows dual audio feedback, but I wouldn't hold my breath.
The trick to using a capture card on TVs is that you need two feedbacks, one into the TV and another into the capture card, if we used component cables for BB or anything with a connected spare set of A/V, then I would use my capture card, but often times there are only one A/V set or the TV doesn't have an input set of A/V.
Our required set up for using capture cards is much more than just a capture card if we're gonna be using an old school CRT.