With ZIRP, banks no longer need customers. There aren't good alternatives, because $ under a mattress invites burglary or home invasion. BTW, the drug war has done this for a long time: the DEA can allege that anyone's account is proceeds of drug sales, freeze the account, _sue_ the account, get a forfeiture award and give the $ to "law enforcement," all without ever proving a crime beyond a reasonable doubt.
There aren't good alternatives, because $ under a mattress invites burglary or home invasion.
Though having money a lot of money at home is a bad idea that doesn't mean there are no good alternatives.
Let's think outside the box. How about gold or silver in various lockers to which you have the only key? Even a locker at the gym, say.
I saw in a mystery movie once about how a guy just kept some document in the mail at all times. It was pretty safe (though not perfectly) and when it arrived at his house, he'd just mail it to himself again.
The truly horrid part of that story is the Wells Fargo fine. I used to have an account with them but the fines for this and that, and the fees every time I turned around just turned me off. I quit them ten years ago. I assume they are the same greedy vultures as they always were.
Some people convert their currency to gold and silver and put it in a safe deposit box. That idea attracts because of inflation you may see significant appreciation.