Our current system already has the structures and insitutions for you. If you absolutely abhor the possibility of the bank losing your money in a bad loan, it has an option for you. It's called a safety deposit box. You can be certain that the bank NEVER lends your money out. You are assured that the money you put in is also the money you put out. You never have to endure sleepless nights wondering whether the bank will still have your money when the time comes for you take it out, because it never lends your money in any 'inflationary' debt ponzi schemes.
And to those discerning full reservers who want to earn a rate of return on their money, the current system also has an option for them. They're called Money Market Funds. These institutuions are GUARANTEED to have no ability to 'counterfeit' your money by creating it out of thin air. They can only lend the money that people put in them. They have no magical reserve accounts with the central bank, and are never never constrained by its heavy hand of regulation. They have no need for the Fed, and never have to bow down to its dictatorial wishes.
You have doubts that they may be counterfeiting your money? Case in point, when people move their money out of these funds, these funds have to liquidate their asset holdings in order to pay them out. Even more telling, if more people move their money out, the more they have to liquidate, even if they have to sell long term debt at a loss. The fact that the net asset value of your share in these funds goes down when this happens is proof positive that no counterfeiting ever happens at these funds. Another case in point, if too many people move their money out, these funds will gate your money in so you can't get it out. This proves that your 'bank' never blemishes its reputation by involving itself in the crass activity of 'Fractional Reserve Banking'. The good news is that, in the last run-up to a credit bubble, most lending in the system was already being done by these 'non-inflationary, non-fractional' substitutes.
If you're the type who has to make sure his money is safe and is never lent out in ANY debt ponzi scheme, our current system also has the option for you. It's called hiding your money under your mattress. You see, capitalism is a wonderful system that allows all sorts of institutions to flourish, that serve to enable everyone to have the liberty to choose their method of safeguarding their money. The free market system has always made sure that every consumer gets what he wants, and always attains the outcome that he deserves.
Why change the system?