Our Latent Class option doesn't allow you to add in variables beyond the conjoint or MaxDiff choice data, sorry. If you had access to our CCEA software, you could potentially use individual scores from an HB run plus other variables to come up with an ensemble solution that incorporated lots of different variables, or potentially do something similar with another clustering software, or a package for R, etc. I believe the Latent Gold software does have a more feature-rich Latent Class implementation that would allow you to add in additional variables beyond the choice data as well.