With those dimensions, impossible!..........Rich
What about a 284 jazz or 338 norma mag,it's not a .532 bolt face but it will meet your oal requirements.
You'll need a 7mm wby match chamber (short throat) I doubt you'd have much luck with .360" freebore and 180 bergers!
Do I search on here for the .338sin. That is the most power you will wring out of that action. Paired with a long barrel you will come close to what you are looking for.