In the past, I have known of some pilots who do this through a Notary Public. Basically, you are swearing that the times are certified true and correct, and the Notary Public puts his/her stamp to that. Then they have taken that to the State level (in your state capital) at the courts, and they certify (yet another stamp) that the Notary Public's stamp is legal. Then you could take it to the State Department, whose stamp authenticates the stamp at the State level.
This is what is known as a "chain authentication," and it doesn't prove much but is normally acceptable to foreign authorities who like big impressive looking rubber stamps. You can read more about it here:
http://travel.state.gov/family/abduc...ssues_562.html
Absent of that, ask your local FSDO if they can do a rubber stamping for you. It is unfortunate that you have "little red logbooks." While completely legitimate, they look less "official" than the bound things and are less often used outside of the US. Oh well, just one of those things about International Flying.