With just one son I think we could see Henry VII be a lot more amenable over Catherine's dowry and have her brought over to England ASAP. His own marriage negotiations with Joanna of Naples would probably be sped up as well...probably bringing her over as early as 1504/5.
On the other hand, Henry's got three unmarried daughters:
- Margaret (born 1489)
- Elizabeth (born 1491) [OTL Henry VIII]
- Mary (born 1496)
He didn't let Margaret marry King James until 1503, after Arthur and Catherine had married and Henry was entering his early teens.
Potential native husbands for his daughters would be:
-
Edward Plantagenet (1475-), Earl of Warwick. He was said to be a bit slow, but would have been of an age to start producing children immediately.
-
Henry Courtenay (1496-) heir to the Earldom of Devonshire and grandson of Edward IV .
-
Thomas Howard (c. 1496 - 1508), son of the Duke of Norfolk and grandson of Edward IV.
-
Thomas Grey, Lord Ferrers of Groby, heir to the Marquess of Dorset and nephew of Queen Elizabeth of York, second richest heir in England.
I can envision him marrying Margaret to one of the above and only then letting "Elizabeth" (Henry VIII) marry James of Scots. Or maybe he marries Margaret to a dispossessed European prince - someone like
Ferdinand, Duke of Calabria, perhaps.