Try mtjobs.com. There are some companies that you don't need 2 years for but you have to take tests. Medquist, Nuance and Inscribe are a few. I have never takent their tests but I just know they say you don't need experience.
Also, check out AHDI and become a member. They send out a great magazine and have alot of information on their site. You can go through them to get your RMT or CMT certification which will help you get more jobs as well.
I don't necessarily think it is a profression that will die soon, but you may want to educate yourself on voice recognition. There are alot of places trying to use that but they still need editors. Also, check out electronic medical records (EMR) systems. Alot of doctors are going to that, but again, they need people for that still as well.
I don't have much experience myself, but this is just a few things I have come across recently.