Not possible with Blender but you can corrected the Blender Bevel for each angle…
METHODE: With this two add-ons, you can make simply the job
And this explanations: https://www.dropbox.com/sh/hhv5zo4qrk4rhgv/AAAwYegeq5LiJHuQJigcaB7pa
Select one edge and choose “Extend”, make the same with the second edge (but you can select the both, the addon run with multiple edges).
Select the 2 new edges and use “Smart 2 edge intersect” and remove the wron edges.
Select the 3 vertices and merge them at the intersection and all is finnish!
Make the job for all angle and hop!
This is your corrected bevel HERE