Steve,
Of the two rounds, I like the RUM better then the 30-378 but as mentioned already, since your receiver is set up for the larger bolt face it would not be a good idea to try to step back to the smaller RUM rim diameter.
That said, a round I would recommend far over the 30-378 is something like my 300 Allen Xpress which is based on the 338 Lapua case. Same head diameter basically as the Wby but case strenght is castly superior to the Norma made Wby case you would be able to basically match the 30-378 in performance with less powder capacity because of the rounds ability to handle higher chamber pressures.
Any 30 cal based on the Lapua will come very close to matching the 30-378 and the improved versions like my 300 AX will run with it head to head.
Plus you can load the Lapua up to nearly 70,000 psi and not have a problem. If you do that with the Wby case, you will get one firing per case and the primer pockets will be loose.
Brass cost is similiar with the Lapua being slightly less if you buy in bulk.
The Improved versions of the 30-338 Lapua will basically split the powder capacity between the RUM and 30-378.
It would also feed in your Sako just fine as well.
Kirby Allen(50)