Soldier all the way. Go to:
www.soldier.us
Select: Straps > Custom guitar straps; under there, there’s like a dozen or so “fabric categories” and a crapload of colors within each one of those. On top of that, you can select the “backing” color, the leather end-tab color, chrome/gold/black hardware, etc.
Whenever I acquire a guitar, I always bring up a picture of the guitar on one side of my screen, and keep poking around at different strap patterns on the other side of my screen until I find “the perfect one.” It works
almost all the time. Fun little obsession of mine... but then, I’m quite proud of my strap game.
Alternatively: check out the Levy’s M17BDS-TAN Butter Double Stitch strap. It doesn’t incorporate the green, but let’s face it you got a lot of “green” going on already. I have one of these and it works REALLY WELL by tying in that light-brown back & sides. Beautiful and comfortable straps. And they fit the PRS strap buttons well (so do the Souldier) if you cut the slits just a tad longer with a box cutter.