It would depend on who built the hub as some are a bit stronger than others. but people do consider the 3 speed geared hubs to be more ideal for jackshaft driven bikes as they are stronger than your typical freewheel.
The late KC Vale built several 3 speed IGH shifter bikes both gas and electric. You'd need a shift kit with a standard Shimano Nexus and a standard Strumey Archer. If you get a fixed geared 3 speed Strumey Archer IGH it can be used as a jack shaft transmission to drive the left side of the wheel; meaning no shift kit needed.
The late KC, wow! He and I shared a few words over the years. Sorry to hear that!
Sturmey Archers are tough. The Nexus hangs in there. I have run several. Currently have one running thru the bottom bracket by a 3hp Briggs via an auto clutch. Auto clutches are easier on the Nexus. Have to have a recoil start as they freewheel, excepting the fixie hub.