I manage this adjusting how far from the edge I stitch when sewing the binding to the front.
Sew 4-6", then fold binding around and see how much of a lip there will be. Sometimes I even stitch it to the back, using a long stitch, if I'm not sure.
The lip is usually too wide, so I move the needle one click to the left (widening the seam allowance). Restitch that 4-6" chunk, then fold it over and check again.
Keep doing this until I have it just where I like it. I aim for less than a millimetre of lip sticking out.
Instead of pins or basting clips, I will often use strips of 1/4" wide double-sided fusible to attach the binding to the back. This way I can check the lip (approximately) as I iron it in place, and I know it won't shift as I sew it. Most of the fusible manufacturers make the 1/4" rolls; I've bought Wonder Under and Steam-a-Seam Lite at Joann's and Fabricland.