It all depends on your income. If you are low income, then, I'm sorry to say, you are better off going to school in the United States. You can find better options at schools with good financial aid or cheap public school. If you are well off, you could probably save money by doing so, but keep in mind all of the difficulties.

If you are not well off, the entire process will be very difficult at most all times. The failure rate is very high for foreign students, and even for Germans. There is a lot of stress overall when it comes to college, and being in an entirely different country is a very stressful situation.

The system is very, very different. A lot of students are doing science/engineering and the workload is really heavy, and that's pretty much all they do. It's not like the United States where you go to college because it's just the thing you do. You aren't going to party and spend your time with a mixture of freedom and hard work. When you are enrolled, you are working at most times. In Germany, you go to college because its probably the only way to better yourself in the field you are studying and to compete, as you are working to pay your way through that education. Otherwise, go to a trade school or start working in that field after secondary school. In Germany, once you start college, you start right away, no bullshit. It's not like in the US with the standard four full years and stretched out structure.

Also would going to school in a country like Britain still be a cheaper alternative to U.S schools?

God no. Unless maybe if your family is well off. And, if they are, you can get just as good of an education here in the state for cheap.