Now that I've finished the book, Gawyn told him he wouldn't be without a brother, and he challenged Demandred since Rand was busy.
I'm going to assume he survived and married the First and actually remembered his brother fondly. Maybe Rand went to see him after it was all over.
In AMoL, Rand tells Egwene the one sibling he has doesn't know him. Who is his sibling?
Nevermind. I finished the page, and they say who it is. I wonder why Rand never told him.