Assumptions...
I'm a bit less sanguine about this. One thought is whether Harold will still get embroiled in France as a way of seeking revenge about William and his family. In addition, his brother Wulfnoth was a hostage of the Normans.
I wonder if Harold would ally with the French King to try and take down the Normans. This would bring in Flanders (William's wife, Matilda, is sister to Count Baldwin) but the strong economic linkage between England and Flanders might mitigate against that.
I simply don't see Harold's England turning away from continental affairs - indeed, I think a Saxon England (which is very wealthy in contemporary European terms, remember English silver and consider why William went about the expense of invasion in the first place).
The problem will come when Harold the Great (maybe) dies. The Godwin clan were a fractious lot at the best of times and you have the rival claim of Edgar the Aetheling who of course might be a serious contender for power despite a Witan dominated by the Godwins. The possibility of civil war or further instability is considerable.
Indeed, the near-civil war which followed the death of William in OTL 1087 might well be replicated when Harold dies. You might then see the Scottish and Welsh kingdoms dragged in as players supporting one or other of the Godwin factions.
It's not even inconceivable to imagine a divided England either along the old Wessex, Mercia, Northumbria lines or something else in the early 12th Century.
With no foreign barons to impose feudal structures, Saxon society is probably less hierarchical and more open but the centre of power might either be Winchester or possibly York (depending on which branch of the Godwins prevails).
Would the Godwins get involved in the Crusades? Seems unlikely.