Be sure to ship them via FedEx.... You don't want the strawberries to sweat (much) and potentially cause your chocolate to sugar bloom.
In general, dipped strawberries are not using tempered chocolate and so there is also a greater risk of having your chocolate melt since untempered chocolate has a lower melting temperature than tempered chocolate. Perhaps you can insulate your package and throw a few ice packs in it. (Of course, it refridgerate your strawberries first, then your ice packs will have less work to do to keep things cold.
Hope this helps,
-Art