Agreed - "recovery point" sounds promising. Agreed, use a proper receiver shackle bracket when using the tow point.

Also, in my concern about the various suggestions, I forgot to mention that you did a beautiful job on that line. While I have some concerns about using a fairly static line, the Amsteel Blue is a great material, and is quite strong. Certainly if used carefully it probably will do the trick, and as you pointed out is small and light enough to always be in the car.

-john