Beacon Probing will require 3 NICS to work correctly. http://theithollow.com/2012/03/understanding-beacon-probing/
It sounds like your virtual connect ICs are in an Active-Passive mode correct? Or did you create 2 vNets for each network, one on each IC?
If they're active passive, then obviously your standby IC should never use it's uplinks to your switch unless you have a failover event. This might be a good thing to open a ticket with either HP and\or VMware. I'd love to know the result.
As far as brininging your management traffic back onto your vDS, do you have your vCenter virtualized on this switch? If so, this will cause an issue. I can speak from experience there unfortunately.