DISH PIT! Trust me what you want to do is get a dish job at a nice up class restaurant. Show motivation, show articulation and show an understanding of how things and people should move around the kitchen. The last one may take some time but if you show chefs that you will work your ass off, they'll start handing you recipes and have you start doing small prep stuff - sauces, marinades, rubs, ect. they will kind of casually put more and more work on you as you show that you can handle it and they feel less and less like they want to do it. In order to achieve this relationship with them you will need to go above and beyond all of the other dishwashers, develop a more personal relationship with the cooking staff/get to know them, and ask them if there are things you can help them do. In order to do this you may need to do it more at the beginning of your shift or more at the end.. obviously not in the middle of service when everyone is busy. Take it step by step, but seriously.. I'm twenty years old and two years ago I started working dish at a nice place and this is basically what I did. Today I'm second in command in the same exact kitchen. I did have talent and cooking skills to get where I am now, but it's totally possible.
I would go this route as opposed to a stage because firstly.. you don't get paid. secondly if you aren't on payroll, the kitchen workers will be less inclined to work with you on you technique. If you are on payroll they want you working quicker and more efficient and show you the exact correct ways of doing things.. I could be wrong you may be fortunate enough to find someone to train you while you stage but If someone were doing so in the same kitchen as me I think others would be more inclined to work around you and not with you.
hope i didn't bore anyone to sleep...
Good luck though man, let us know what happens!