I'd think that Yola in particular could fit the bill; all they'd need to do is keep most of English's front-syllable stress and lose a random Norman word here and there (to be replaced by an Anglo-Saxon or Norse one, of course) without totally pruning the language of that influence, and bam! New Anglic tongue that looks more "evenly" influenced by French to a less-than-god-awful amount, and still looks/maybe sounds sorta English-like.