The headband serves no purpose to this run, since, as I mentioned, I'm not using any class abilities, features or spells, at all. I'm using all and only Larian's larianisms - Throw and Shove, primarily.
How did you manage the encounter at the grove's gates then? It's a bit of a distance to the nearest ledge, as I reckon - what did you throw goblins off?
Unless you have set up some sort of a conveyor belt to deliver goblins from the gates to the cliff, you would have to actually use weapons, no?