It would appear that Galleon's activation ends after the Assault ranged attack. Galleon would not get to make additional melee attacks due to Drag because it no longer has a combat action; its activation has ended immediately after making the Assault ranged attack.
However, because Drag does not specify that it must occur during the model with Drag's activation, the model can still be pushed toward the model with Drag.
That's what I'm sticking with, at least, unless somebody comes along and tells me I'm wrong.
