I did this too, back in the day!
I did this pretty much "on the cheap", with a .270 Browning barrel that came off a gun a guy changed to a .300 mag. I had an Argentine Mauser with the nicer floorplate, and I got a French Walnut stock that I did myself as I did pretty much stock work for 2 shops at the time. Ended up with a beautiful, nicely checkered, heavy (8+ pounds bare) gun that had mediocre accuracy, compared to the guns I already had. I was not aware that anyone was still really doing this, since the value of military mausers increased so much since the '70s and '80s. If you really want a mauser, a used gun would be less expensive and involved. I recently saw the Remington 798, which I never knew they made. Interesting, but still a little heavy. Good luck with whatever you decide to do.