Current in the running suggestions for builds to do this with. Yes, there is a pattern here.
Dark/elec Brute. /elec's heal comes late so that's what Dark is for, but it has resistance to energy and end drain with some protection against Psy so hello gold side. Also the first brute which clicked for me on live. Soloed an EB without any inspirs on common IOs.
Dark/en Stalker or Sent. /en might bloom too late, but if we are talking life in blue or red side, the defenses will kick in, and my StJ/en stalker who is near finished with just needing some T4 action to happen can do +2/x3 without even using a heal or inspir. (does not include AVs, but I have done more than one EB at a time) I really should bump the diff setting.