Here's a thought, since you have some info on the curve that you can use to draw a tangent curve (length and radius), you could try working backwards throught the described bearings and distances, but that only works if the last described line is a straight line. If so, I'd suggest starting at the original point of beginning (POB) and then use the back bearing of the last described line as the first line of your traverse. Does that make sense? To get the back bearings, just use the opposite direction, such as S 16-11-38 W turns into N 16-11-38 E. When you get to the last line, which would be the curve, just draw it as a tangent curve and use the length and radius that you know. If the line doesn't close back to the POB, you could then select the curved line and rotate it until it snaps to the POB.
I hope that makes sense and helps you,
Bill