I don’t think this is the fastest Elspeth/Bombot deck. I have been using the following deck since her release:
Elspeth
Bombot
Bombot
Mechanist with Warden’s Gauntlets
Double Brown Banner
Elspeth targets Mechanist usually, except when there are targets with traited life drain (or some special death effect like Kerberos). In later case Elspeth targets the second Bombot instead.
Most of the time the two Bombots get charged the first turn. Warden’s Gauntlet is enough to clean things up in the second case, and slightly faster than Black Manacle, and only brown mana.
Here is the original discussion: New Kingdom - Silverglade - #48 by DonBoba