The Pugils, like in Golden Salvage, are true sound with a fairly small range. And they're bloody tough, and immune to charm, but CAN be slept and bound.
The easiest strategy is to have one or two pet classes so you can track where the Baron's going (he doesn't show on widescan) and just follow them around.
The Baron himself is easy. 9000-ish HP (about 3x more than a normal Imp) and he doesn't seem to have any more spells/abilities than an Imp in the Mire. We trio it from time to time as BLM SMN BST, maybe throwing in a BRD if we have one available.
It's just a matter of luck for the most part, depending on where he warps. If he keeps going from one side of the zone to the other then it's going to be hard... but if he keeps warping on top of you (which he will do sometimes) then you can win in about 5 minutes.
Oh, and hate is reset when he warps (he goes unclaimed), but he NEVER regens HP.
The rune of release is where you start, by the way.