Your lender might have their own criteria, but most banks will generally use those guidelines that I've mentioned.

Banks will require you to put it in your name.

I highly recommend  you look into that.Something you might want to look into before you get started1) Soak up as much info as you can so that you know what you're doing.2) Pick a niche and try not to get distracted by various means of investing.3) Build your team before hand - insurance agent, local community banks, lawyer, realtor, property manager and handymen.4) Run numbers on a LOT of properties just to get familiar with the process.5) Research on neighborhoods that work out for you.6) Network.

How do I stay with my anonymous to public, yet not to the bank?

You never get to see the inside of the house or asset securing the debt unless its been abandoned and the bank had to secure it and they took pics.

This mortgages on this property were being sold like crazy before the banks collapsed.

bank owned are tough... they go through SOOO many stages and long time spans before they finally take that offer. 

Bank got the judgement and now own?

The HELOC terms differ from bank to bank, obviously, but I was under the impression that I would be able to secure 100% of my equity and I was wrong.Not sure what your current situation is, but have you considered house hacking as another method to finance your new purchase or pay down your current house?

Rental real estate investing is so incredibly simple at it's core it's insane how many people out there are screwing it up.You buy a house with the bank's money & your tenant pays off the bank.