Sorry Bill S that one is way outside my ability to speculate.

If I had to guess and it would be only a guess I would say go towards the middle because it is denser. However that would give the sun a radiation cold spot in the core and I imagine forces opposing that would be immense so I think that one is a question for the experts in the field.

I believe in "Evil, Bad, Ungodly fantasy science and maths", so I am undoubtedly wrong to you.