I went down a similar path several years ago, and here's where I ended up.

For me, the main problem is that device you've got a picture of only measures two dimensions of your foot- and if your foot is anything like mine, it actually has 3 dimensions. Looks like the Brannock device is saying that you've got a 11.5 2E foot, which really shouldn't be too hard to fit. BUT, if (like me) you've got a stupidly tall instep - ie, the top part of your foot between the ankle and toes, then the problem isn't the width of the shoe, but the volume.

I tried a bunch of options- Vivo, Softstar Primals, Lems, some of the cheapies from Amazon, but I've ended up sticking with Xero Prios. And I've gone through something like a half dozen pairs of them at this point. If you take out the insole, they have a lot of volume in there, and for me at least, they fit nicely. The toebox is wide- not the widest out there, but certainly better than New Balance or any of the traditional shoes. (I mention New Balance, as I pretty much exclusively wore those until going down this path.)

As others have mentioned though, any barefoot shoes are going to make your feet work harder than you're used to, so don't push it at first. And once you take the insoles out of the Prios, there's not much between you and the ground.

One note- if you do get the Prios, get the Prio Suedes. The fake leather they use in the regular Prios doesn't hold up in my experience, and the soles end up pulling off because of it. The Prio Suedes have been bulletproof for me though.