Applying restrictions to Cryptocurrencies is a smart move. It does two things. It keeps the sheep under control while the rest of the people who contemplate avoiding the rules will have an instilled fear of avoiding them.
Before, it was easier. Since there were no regulations, you never had a fear such as the Government finding out about you avoiding them. Now, things are different. The people who will continue to avoid the rules will be an amount negligible enough for the Government not to care. What is important is not losing control over the mass.
Now for your situation, things are simple. Banks freeze accounts for fiddling with Cryptocurrencies? Just start moving Cryptocurrency with out the need for Banks, which is how Cryptocurrency was supposed to be used anyway.
But the situation is much more complicated in other cases. For example. Cash restrictions are increasing every few years in Europe. Considering the increased limits on Cash Transactions in the past decade, I can safely assume the limit will be either so low it will become a HUGE burden to pay with Cash, which is pretty much obliging us all to use Card instead, or the limit will simply become inexistent for the same reasons they are now increasing limits. Fraud, Money Laundering et cetera, which the politicians mostly do, and not the regular citizens like us.
That is where the real struggle begins. How do you sell your Cryptocurrency earnings while avoiding Banks if Cash Transactions are limited to 1,000 Euros and Banks freeze Cryptocurrency related accounts? If you have 10,000 Euros in your Bitcoin Wallet and decide to sell it all, do you meet 10 separate people to exchange it all up to the limit? Do you meet one single guy to silently exchange over the limits? What do you do?
They are smart by doing this all and they know it slowly becomes a burden and a very uncomfortable fence for all of us, forcing us to both use Banks and to stop using Cryptocurrency altogether.
I do not see many people continuing to risk once more restrictions are applied. Even meeting a single person face to face to exchange small amounts of Bitcoin is risky enough, and from all people I know, which is a few hundred, I doubt I could find even 10 who would take the risk.