Bosworth Counterfactual

What if Richard III had not been killed at the Battle of Bosworth Field in August 1485..

History as it happened
1485:

Richard killed Henry's standard-bearer Sir William Brandon in the initial charge and unhorsed burly John Cheyne, Edward IV's former standard-bearer, with a blow to the head from his broken lance. Discarding the lance, Richard wielded his battle-axe. Henry's bodyguards surrounded their master and succeeded in keeping him away from the Yorkist king. On seeing Richard embroiled with Henry's men and separated from his main force, William Stanley made his move and his troops advanced..

Alternate Timeline
1485: ..Richard redoubled his efforts, and began to almost single handedly hack and slash his way towards Henry Tudor, just yards awy. Seeing the Stanley's advancing a few of the Tudor bodyguard faltered and attempted to flee. Others followed. Even as the Stanley's reached one edge of the melee at the other edge Richard finally fought through the press to face a cowering and unarmed Henry Tudor. Tudor held up his hands in supplication and as Richard looked down on him the clamour of battle began to die away. Men on both sides, who moments before were hell-bent on mutual slaughter stopped to watch the king and his rival. "Someone give him a sword", called Richard, dropping from his horse, and turning to squire adding " ..I have no need of a horse." A sword was thrown to land before Tudor, who simply stared at it. Richard advanced, casting aside his crowned helm, which fell, without ceremony, into a mire of blood. Historians differ as to what happened next, some say Henry Tudor made an attempt to fight, and died, while others have him struck down by Richard in an attempt to surrender.

1486:

1487:

1488: a certain Genoese, during his long quest to finance his crazy-sounding scheme to discover a new world, or at least sail to Asia, dispatched his brother Bartholomew to the English Court seeking patronage (he was taken by pirates and landed in England in a destitute condition). Richard III, now 40 - perhaps a little grey, but with a Portuguese second wife and forever the risk-taker, said: "Bartholomew Columbus, get thy brother Christopher to Chester, where our Admirals of Cheshire, the good Stanleys will provide you ships for your enterprise and crews...to seek out new worlds, to boldly go where no man has gone.."

History records that the Stanley's "Three poor cogs": "Enterprise", ..