First of all, don't take reps to any authorized dealers of any kind. Open the yellow pages and check for your "local" watchsmiths. Call him and tell him you have a regular automatic watch that needs servicing.
You don't have to tell him the brand of the watch. Just ask if he could do the job for you. Only tell him it's a rep if he insists on first knowing the brand of the watch prior to you coming over to his shop. This is so both of you don't waste each other's time in case he just doesn't work on reps.
When he says "yes", then take the watch to his store and when you give him the watch, casually tell him it's a replica with automatic movement.
With the economy being so bad, your local watchsmiths will take the job. If you have a good rep, you'll get compliments from him and then he becomes your best friend.
10 out 10 this approach has worked well for me.
Good luck.