Yeah definitely need Medicom baldric, maybe a mix of it with an HT Leather, one, the plastic doesn't have much give, but hangs good.
Now, the coat, ahh the coat, the one costume bit no one ever gets right.
You did read about someone making it more gray, it was me with paints, and it took me 3 tries before finally getting it to my liking. I painted a DX06 coat and 2 DX15 coats.
Here are the 2 DX15s, my first go ended up a greenish gray that I wasn't happy with so I took another stab on the right, which I am very happy with.
As far as what coat to go with, I'd say either Medicom or DX15.
With Medicom, it's black, which to me is a better match without customization than the hershey brown all the HT coats and Medicom UU have, and the tailoring is a bit more form fitting than the DX coats are. The biggest negative is the buttons are cheap looking and glued on and don't look nearly as nice as the DX coat buttons, and there's no lining.
With the DX coat, being a lighter color I would say it's easier to customize, and the fibers in the DX15 capture the sort of pattern like the real coat, and overall, it's well made, aside from color, the only negative I'd give it is that the sleeves are a bit baggier around his arms, but it doesn't stand out too much.