I think the safest answer is "unknowable". In anthropic universe model's the larger universe beyond our observable one is considered to vary considerably. Aren't you a supporter of this?
The possibilities are by no means black or white, however. a billion lightyears beyond the observable univere to our left may be a void, but we might need to go 4 billion years beyond the observable universe to the right before discovering any inhomogenity. Detractors of inhomogenity often seem to go with this idea that suggesting inhomogenity automatically put us at the center of the local homogeny.