The short answer to your question is: Yes, a prestigious college does have a high probability of making you much better off in life, at least materially. Is it a guarantee? No, but it does help a lot.
I’ll give you some examples. Similar to you, I also graduated from a (very) prestigious college. My friends from college are all doing very well. Several of them are now attending highly ranked law schools like Stanford or Harvard, or excellent business schools, or well-regarded medical schools. Others are working for generous salaries. For instance, one of my friends graduated in the bottom 2% of his class. Immediately out of college he was hired for a job that paid him close to $70,000 a year, starting salary. That is not an uncommon occurrence where I attended college. (Obviously you should not aspire to be in the bottom 2% of your class, but I use that example merely to emphasize that the good fortune shines on everyone).
Furthermore, running your own business can be very difficult, and it is also riskier, because your livelihood rides on the ups and downs of the business. Being able to have a steady job may be less lucrative, but it also partially insures you against the effects of the sometimes-irrational behavior of consumers. Also (and I know health care is a sticky subject on this forum), big companies and good universities are much more likely to provide health insurance (or even health care) to their employees/students. Such corporations also might do 401K matching, or have some other retirement plans. Those may not be things you’re thinking about right now, but those are benefits that you will definitely want to have, especially down the road. If you run your own business, you will have to deal with all those issues yourself, and they can be very expensive.
Also, if you’re interested in starting your own Internet business, why not start now? I had a friend in college who ran an Internet business on the side, in addition to pursuing his studies full time, and he was making over $100,000/year, just from that business. You currently are in a situation in life where you are not likely to end up on the street and starve (at least we hope your parents will not allow this to happen). So give it a go
now, when your bread and butter does not depend on your success. See how it works for you, and if it blows up in your face, at least you’ll have your degree.
You also mentioned that you feel a state school will be easier. That is true. My friends who went to state schools, or even many other private schools, had a much easier time in college than I did, at least as far as classes were concerned. But remember, coming from a prestigious college,
you do not have to do as well as your state-school counterpart in order to have good opportunities presented to you. That is to say, a person with a B- average coming from Princeton is going to have a
lot more good opportunities presented to him than a person with a B- average coming from a state school. As my dad always reminded me when I was struggling in college, “It’s okay to be average at an above-average school.” If you go to a state school, you are going to have to
really excel in order to receive the same opportunities as a person coming from a prestigious college.
Furthermore, one of the benefits of attending a prestigious college is the people that you get to meet. I met some really, really incredible people in college. Even though many magnificent people attend state colleges, they are not so utterly saturated with them as the really prestigious schools. Your classmates are probably very talented, and may even be willing to use their knowledge and their skills to aid you in your endeavors. For instance, since you’re interested in starting an Internet business, you probably have a much deeper pool of talent to draw from for help and advice where you are than you would have at a state school.
But now, coming full circle, back to what I hinted at in the beginning: A prestigious college will probably make you better off
materially, but not necessarily spiritually. Though, I’m sure you knew that already.

Your spiritual growth is a matter between you and God, and if you seek Him earnestly, He will bring elements into your life, regardless of what college you’re in, to help take you where you need to go.