The problem with using custom codes in this context is, that the products are not actually available on the main site or cross site (WordPress does not support that) – these are non-existent there. So the custom codes may not be able to execute correctly on them.
Product details, including the price is therefore not avialable in this context. It might be possible to fetch via switching the blogs – but it has to be custom coded within the theme. You can fetch the product blog IDs in the main loop via the get_asp_result_field('blogid'); function call, more details about this here.
Unfortunately this is theme dependent, I cannot suggest custom codes for this, it needs to be integrated to the theme.