Don't be disheartened about bias binding. I do curved corners all the time. I use a plate to draw the line where I want it to be in the corners. The tip about not cutting it before you sew the binding on is great. I also use straight grain binding for the straight parts of the quilt. What I do is lay the binding along the edge set with just a few pins to keep in place. When I get to a curve I mark a spot just before and after the cure on the binding. I do this all the way around the quilt. Then I splice bias binding between the marks I made at each curve. I takes a few extra minutes but works great. Hope this can help some.
peace