AZ Jane, I have to say I love, love, love that quilt. The pattern has been on my bucket list forever, and you bee is just wonderful!

I sew bindings on professionally. 2" is the narrowest I've done, and it was a little challenging. I sewed the binding on by machine, then turned to the back to sew by hand as usual. Found myself putting the needle in right at the stitching line I'd just made to sew the binding on the front. It was a pain. If you do use a 2" binding, I suggest using a slightly smaller seam allowance when you stitch the binding on the front. As others have suggested, a flange binding would be easier and very attractive.

Peckish brings up some good points -- the seam allowance is an issue. My solution would be to sew on at the standard 1/4", and then go around and make sure that there is no slippage and it is on well, and then I would trim it just a scant bit or maybe use pinking shears would be good, and yes, you'd be pretty much on line or a thread or two over.

Depending on the quilt, I might make sure it is full and round more like cording instead of flat.

But like I said before, I've had to hide a 1" strip of fabric inside a binding before and made up for other short comings many times. It will be ok in the end! But please let us know your decision :)

Many times, I trim the edge of the quilt after the binding has been sewn on. I sew the binding with the 1/4 inch seam to the top of the quilt. Then I trim from the seam line. Calculate how much you need to trim to keep your binding full. 3/16ths is a good choice for me. Then the binding always turns to the other side the same distance all around.