toedder:  discussion of a similar position can be found on pp. 66-68 of Improve Your Backgammon by Lamford and Gasquoine.

However, their initial example is at a much different match score: with the cube already "yours" at 2, and with you leading in the match by a score of 3 away / 5 away.  Given that situation, the correct cube action is: No Double / Take.  (By their methods, you would need to be a 62.5% favorite to bear off in that situation for the redouble to be correct.)

They do also discuss a general approach to the cube decision, given any particular match score.  (So, I'd love to know the exact match score in your case--just how early in the match was it?)

Also mentioned in the book is the correct cube action if the position were played as a money game:  double/redouble/take