SO, as I said then, matching binding at a 'straight' seam is about 150% times easier than at an angle. I have managed doing it at an angle twice, but both times it was a headache, and I knew I needed to take the time to document the process so I didn't have to waste time re-figuring it out every time I wanted to do it. So finally, this past week, I did just that.
To start, measure around your quilt and jot down how many inches of each color of binding you will need, allowing yourself at least 6-8" extra in length for each section. Then cut strips for each section, and press each in half lengthwise just like you'd usually do for double-fold binding. Lay two colored strips alongside your quilt, about where they will be sewn on. Cut both ends on an angle as shown below. Do take note of the angle you are trying to match. Pictured, mine happens to be a 60-degree angle on my quilt, so I cut the binding at 60-degrees, just in the opposite direction.
to machine-stitch one connection and pin it in place, then measure, cut, and add another color, pin in place, etc., moving around the perimeter of your quilt. Eventually you'll have the entire binding pinned on and you'll just machine-stitch it on. I usually finish my binding with hand-stitching, but if you machine-stitch your binding, it should work the same way.
Good luck and have fun using this technique on just the right quilt!
If you try this method, be sure and add a picture to Quilting with A Quilter's Table on flickr!