My thought is your first obstacle: Protestantism is anti-saint, it's one of the many reasons they split from the Roman Catholics and the veneration of saints was considered idolatry.
Anglicanism is Catholicism with a lot of Protestant stuff incorporated (like priests marrying etc). The High Church is closer to the Catholics (some have even accused High Church Anglicans of being crypto-/pseudo-Catholics) and are more about "the smells and bells" while the Low Church is closer to the Protestants. Think about Charles I's kids is a reasonably simple way: Charles II and James II were high church - before both converted; Elizabeth and Henry, duke of Gloucester were closer to the low church tradition (probably due to circumstances).
Well, until Henry VIII got into his own issues with the pope, the Tudors had actually wanted to have Henry VI canonized.
Henry VIII seems a very unlikely fit for sainthood. Edward VI I could maybe still believe, but then you're going to need the propaganda machine working overtime. Elizabeth
can end up there, but again, you need a ministry of propaganda. Edward ends up as a saint because he's the young Joash nipped off in the prime of his youth (perhaps by unscrupulous, anti-Protestant ministers). He's not
too difficult, despite the fact that he was a prig.
Elizabeth's virginity and unwed status can be played in another fashion - nun-like almost. That she was wed to God and all that, and thus would not take an earthly husband. Just a thought.