Firstly, to just mention it, you don't need to give a profile to the chamfer in this case I expect (changing tension), it might be easier to just use control edges and not actually alter the edge shape that bevels add if you are struggling with what to do with control edges. But to solve the loop running to where it might…
That's an expected result based on your topology. You can probably get something working with just the chamfer modifier. Turn off min angle and allow loops to traverse across some of the flat surfaces if you have to.