For what you had to do I think it worked out fine. If you had to contine the radius on both sides, say to form a 1/2 circle you might have gotten into trouble.
In a case where it won't work as you did it, such as when the radius is too tight, you can make a facia board by getting the facia board re-sawed. You take say each 2"x12"x10' and get it resawed into (3) 1/4" x 12"x10's. Do the framing like you did, then buy some 1/4 luan plywood and rip it into 1/4"x12"x8's and nail this to the end of the framing like you did with your 2x6s. Then glue, clamp and sparingly nail the re-sawed facia over the plywood. It will look perfect, you can sand any but seams so it looks really nice.
In a case where it won't work as you did it, such as when the radius is too tight, you can make a facia board by getting the facia board re-sawed. You take say each 2"x12"x10' and get it resawed into (3) 1/4" x 12"x10's. Do the framing like you did, then buy some 1/4 luan plywood and rip it into 1/4"x12"x8's and nail this to the end of the framing like you did with your 2x6s. Then glue, clamp and sparingly nail the re-sawed facia over the plywood. It will look perfect, you can sand any but seams so it looks really nice.