Not as speedy as you want perhaps - but If you wanted a handier short action rifle - a 9.3 WSM would work well I think. I know of a few 375WSMs out there that were a great success.

I rechambered a 350 RemMag into a 350 WSM (35Sambar). It has been a success too and a sensible conversion. The ammo is easy-to-make too. It chronys 2750MV with 250s and 2450MV with 310 Woodleighs with top loads. A 9.3 WSM should be able squeeze out a little bit more power at the muzzle.

The Win70 WSM actions have the longest mag box length I believe of all the WSM chambered bolt guns. So that would make a good donor action I think.

Con's right - cats are fun!