Should I be worried about Adverse Possession or Tacking or Easement by Prescription, if I have several relatives who have deer / dove hunted in the back acreage for over 20 years?  

This is much more advantageous for the seller as they can use eviction to reclaim possession of the property rather than the more cumbersome foreclosure needed in an AITD situation.  

I have the Judgement of Foreclosure and Sale from the case and it states the sheriffs office is to remove the people and their items from the property and to put myself, the successful bidder, in possession of the property without delay.

Topic No. 204: Evictions Based on Owner or Relative Move-InAn owner who seeks to recover possession of a unit for an owner or relative to move in, must do so in good faith, without ulterior motive and with honest intent.

Assuming your notice is proper, you should have little to no issues getting possession that way.

It's called the Albany Land Bank and has a catalog of homes that they took possession of mostly because they had become so distressed they were destroying the neighborhoods.

Landlords can raise the rent with a thirty day notice, can evict a tenant if the property is sold and the new owner wants possession, and so on. 

sometimes you get a faster judgment if you forgo the money damages for possession only.  

You need to send a notice the cease than a notice to quit prior to filing the judgment for possession I believe but am not 100% sure.

They  sometimes foreclose in order to gain title and possession so that they can temporarily rent the property, though they have to take it to auction just like any other foreclosure.