I've been playing fallout 3 and it got me thinking about the BOS outcasts and what would eventually become of them after Lyon's chapter's victory over the enclave at Adams air force base. What do you think would happen to them?

Probably wander off looking for more tech or go back west to snitch on Lyons...

I agree that they could leave lets say for the Commonwealth or elsewhere... maybe leave for a Naval base on the coast

The first outcome I could see becoming of the Outcasts is that they are wiped out as they cannot feasibly replenish their numbers lost whilst out on patrol or searching for Pre-war technology unlike the DC BOS who could recruit from local wastelanders.

Two is that they fracture further as seen in the one bunker where you obtain the gear from the Anchorage simulation.

Three they reconcile with the DC BOS to a small degree when Elder Lyons passes.