Thinking about a world where Háma isn't captured and instead just manages to escape into the wild. Maybe he tries to get to the Hornburg but can't get through the siege lines and doesn't know about the caverns, everyone just assumes he's dead (whether Wulf like finds some of Háma's torn clothing and shows it off to Helm and Héra like "Yeah he's totally dead") ideally he wants to go to Fréaláf but there's a lot of patrolling groups looking for him to actually properly kill him so he spends a while wandering, moving from place to place trying to survive through the winter. He gets little bits of information that trickles from the various raiding groups who comment on the siege. He doesn't know it's all over until he sees people returning to some of the ruined villages he's been hiding in, so he finally can make it back to Edoras.
Everyone is naturally very surprised to see him alive, especially because they've already declared Fréaláf as the new king. I can't see Háma actually minding too much, his brother was set to be king, he doesn't really want it, the visual guide mentions him being jealous of the freedom Héra enjoys so I can imagine him instead just, accepting Fréaláf as the new king and joining Héra on her journey or heading off on one of his own, to find himself now
TLDR: I am in denial about Háma's death and want to think of nice AUs where he gets to live and be happy and free
