That was quick; I looked at two based on my position and thought "oohh, close to home".LHS 4031: 164 LY from Sol (X+Z+)
Cemiess: 127 LY from Sol (X+Z+) ... but really quite close to Achenar!
Rabh: 121 LY from Sol (X+Z-)
Gabjaujis: 199 LY from Sol (X+Z+)
Gabjaujis -> Rabh -> LHS -> Cemiess I think you could very roughly interpret as a path from the edge of the bubble towards Achenar, if you play "join the dots", though that might just be coincidence.