Become more creative and find a way around 'em. May be you need to build a prototype good enough to get you through to one of these programs? And if none of these programs accept you, may be you need to reconsider your idea? Or may be if you still genuinely believe in the idea, go around finding a cofounder on campus who can bring with him some $$$s(trust me, they exist, their parents are usually lawyers or into real estate:) There are plenty of options...just because some are more difficult than others is no excuse to not pursue them.
If you are DEAD SET on building something, you WILL find a way around these problems because they are pretty small in the bigger scheme of things.
I know people who were dead-set on ideas, put everything they had into it and literally lost everything. There are many places/situations where time, funding, and cofounders are vastly less available.
Lets look at it in reverse: why do so incredibly few people execute the most obvious, high potential startup plans? Because there are innumerable costs that those who are already at the top have lost their ability to accurately consider.
If you are DEAD SET on building something, you WILL find a way around these problems because they are pretty small in the bigger scheme of things.