IMHO the option of a failed invasion of England seems more likely than no Norman invasion. After that fails ITTL, well more Normans would go to southern Italy and possibly ITTL the Iberian peninsula. Of course some will go to the Holy Land too, but their impact will be greater in the former two regions. As for England, no Norman conquest might be better short term, long term is a wild card, moreover IMHO Anglo-Saxon is likely to adopt some French (Norman) ideas on their own, in a way it would be not too distant from the Low Countries and the rest of the western HRE in terms of French cultural influence. Would this England be a bit closer to Scandinavia, probably, but it's hard to see England not being influenced by much closer Western Europe either, though ITTL instead of a Norman conquest, it would be much closer to an English Davidian Revolution. In fact AFAIK there already was a Norman presence in England before the conquest of duke William of Normandy.