I have to say I dont really know anything about hamster genetics, but I did some plant genetics in college. I know for the plants we looked at (maybe corn plants?) You got the healthiest crop from back crossing every 4th plant with a parent plan.
Now, I know this doesn't come close to answering your question, but it does make me think if they worked it out for corn plants an answer for hamsters must be out there. I'd be really interested if you found it