I have yo agree with Gunnut69 here!!! I am rather sure that the 6mm/06 is actually a bit hotter then the .240 Weatherby, you might also look into the 6mm/284, you will hear some rumors about feeding problems with the rebated rim but I have built several and it is no problem. I have also done three of the 6mm /06, one on a Ruger 77 and two on Mauser 98 actions all it requires is a new barrel, but while you are at it lap the lugs, square the action and all that good stuff.
On the other hand if you really want a .240 Weatherby you will find the head diameter is .473 just like your .270 so again we are talking a new barrel and no machine work to the bolt face but performance wise I would go with a 6mm/06 or the 6mm/284.