There's really no practical way to stop your period without having a medical procedure or taking medications. You should talk to a doctor, maybe you can get on birth control which may help lessen symptoms or see if you qualify for a procedure.
Intense exercise with a restricted caloric diet can stop your periods, but starving yourself isn't healthy. The period only really stops is because there's not enough calories to allow the body to menstruate/get pregnant. Sometimes exercising can create a hormonal imbalance, but that's likely just going to cause a screw up in your cycle. I am sure some people will say I am wrong, and that you can just exercise it away without severely restricting your diet, and maybe they're right, I am not a doctor, but many girls I've seen in my own life didn't eat nearly enough for the amount of exercise they did and that's what caused their periods to stop. So, yeah, think of Valeria Levitin if you're going to try to exercise your periods away.
Insideontheoutside posted a link awhile ago on Qi Quong's Deer Pose which said some women in China have been using to stop periods and pregnancy, but yeah, you need to do it every day for months before it actually starts to have an affect. I haven't heard much else about it, since I don't think many people really have that much dedication.
Before getting on T, you should try to just focus on making periods easier:
-Taking something like asprin can help lessen the flow a bit
-Try using a menstrual cup, you can't feel them, its reusable so you won't have the shame of going to the store and buying sanitary products, and it'll save you money overall
-I hear drinking a lot of water can help lessen the flow