If wire transfer through your bank does not work then perhaps one of the more popular money transfer services may be what you are looking for such as MoneyGram or Western Union.
Now these rely on a trusted "registered" third party to do the money transfer so you need to make sure that you are working with a legitimate broker. Each money transfer service has a site that allows you to perform the search on registered parties around your area. There are certain fees that are sometimes applied due to the amount being transferred. All of these you will want to do some detailed research on before you make the transfer so that you do not get scammed.
I would suggest doing a lot of research and asking people that you trust to recommend a trusted broker.
I have not personally used the services, but doing a quick search brought many options with different competitive conversion rates as well as fees. Good luck.