I had a 358 Norma built on a Rem 700. 24" tube. It shot 250 Hornadys around 2800 and 225 Accubonds at 2900 fps plus. I'd say go for it.
The big swede cartridge is easy enough to make brass for with 338 win, it will be a little short but works good. The .358 cartridges are generally easy to get to shoot good.
