I have no experience with the Weatherby .270. But I'd like to submit the following for your consideration:
Because you handload you should be familiar with load density (and its effect on accuracy), working pressures, barrel life, etc.etc. The Weatherby is a dandy, I would guess, for someone who can either afford to replace barrels or does not need/want to fire too many rounds in one session. I take the Speer #11 manuals verbage to be reasonable in this regard because of their experience over the years........and would go with a .270 Winchester instead. When I get my hands on an accurate rifle I enjoy shooting it frequently, and at the bench - where the rounds can take a toll on a barrels life if it's hot-rodded too much. I tend to put a lot of rounds through a rifle in a day at the bench....
If you like to shoot a lot of rounds, and like to shoot frequently, then I'd say that you should look for a good 24 to 26 inch-barreled bolt action and then handload it with either 4350 or 4831 powders by Hodgdon or IMR to achieve some fantastic velocities and accuracy. The projectiles that you use will have a Whole Lot to do with your results, as does velocity, of course. You will have to find out what powders, brass, and projectiles work best in your rifle. Not a bad assignment -- if you ask me!
Is it possible that a CZ 550 American Classic with its 25.6" long, free-floated barrel, and target crown would be what you're after?
Take care.
SS'
ps: A custom rifle like your friend's might have been lapped for the ultimate in accuracy and velocity; and the IMR and Hodgdon powders have differing load data. Please keep these things in mind.