Your going to want to run a long action for this due to cartridge loaded length. You're also going to want to run a dbm or cfe box. The detach mags feed better than a cfe as well. I have a 7 max on a lone peak razor ti, fed like garbage in bdl Mbe-3 setup. Installed a cfe13 box and it feeds okay, have run run the bolt rather quick. The max cases are virtually square very little taper with a 40° shoulder, plus to make things worse, loaded length is around 3.15" this puts you into an xm length or long action, but non the choices you listed offer xm. So you're running magazines with 3.7" of room with a loaded case of 3.15 they need do be tuned very well for 100% reliable feeding. My max is built on a 26" proof barrel has around 300 rounds on it. I personally don't care much for it. Speeds are notably less than advertised. Brass/dies are expensive, feeds like butt. The best bet, would be to build this rifle on a Tikka action and use the Hells Canyon billet Tikka magazines. That action is 3.4" long, the mags are designed for short magnums loaded long, 60° lift, very smooth, quality trigger and they're cheap. A longer bolt handle will fix the heavy lift associated with the short angle. This will provide the best hopes of success in a good feeding smooth cycling action, and if you're not happy with the chambering would be less $ invested and easy sale or rebarrel. I'm still waiting on my 6.5 max to be finished, it's on a Tikka with a 26" bartlein carbon. Feel it'll work out far better than the lone peak long action.This will be my first rifle build. I was set on building a rifle on a Tikka action but with the costs after upgrades, it's not that much less than one of the three following actions. I'd like input to see what everyone favors.
Build will be a 7 Sherm Max used for hunting elk primarily and mule deer.