Dakota M76 does. -Your FICO score will enjoy that one though, $2500+ sheckels.
If they will sell you one, you could go Dakota "Scimitar" action. It too has a 3p safety. These are pretty much unheard of in the mainstream. It's a leftover from a 2004 project with the Jordanian Military. I built a couple hundred of these things. If you were to pursue this you'd want to talk to Garret C. at Dakota. He's a solid shit who'll get stuff done.
What I would encourage you to do is avoid these "retro kit 3p's" that folks are selling for M700's. Thus far the ones I've seen aren't very good.
An M70 classic would be a great way to do this, just one thing. The Norma case is .585" bolt face if I'm not mistaken. M70's are not. They can be increased to that but I caution it as it could very well be reaching the limit of what the action will safely tolerate. It'd take a fair amount of work on the feed lips as well. Easy enough to do, just not sure about the pressure. The Norma is not a trivial cartridge.
The Dakota actions are bar stock machined and I know they'll run 338LM all day along with a bunch of other "boomer" type cartridges.
Good luck.
C.