If you go through a bank your anonymity is lost. No exceptions.
Not necessarily. It is possible to have an account with a prepaid card only with a random name attached to it.
Alternatively, find a homeless person and pay them a little to set up an account with their ID.
Nice idea, but a homeless guy won't be able to open a bank account, because he has no proof of residence.
Anonymous bank accounts are sold for approximately 1.000+ , depending on some extras (e.g. telephone banking etc.)
I do not recommend to buy anonymous bank accounts, why the fuck did you want one?
I mean guys, seriously, we do have a market section here, buy your Bitcoin there, it's in my opinion the safest way.
And in addition you don't commit "crimes" (e.g. creating fake IDs etc. to open up a bank account).
Homeless guy can open a bank account but it may be problematic in some countries. Alternatively, it can be simply a destitute alcoholic or a drug addict who has someplace to live in.
As for the ''anononymous bank account'' it is only the cost of a prepaid card, about 3.7.