I don't think this is what you're after, and I apologize in advance if this offends you, but this is what I'd tell my daughter if she came to me with this "deal." Now this is me, to her, mind you:
Walk away. They won't even let you see the property? What color is worse than a red flag? I wouldn't buy a 44 year old home even if I could get in to see it. The sellers (a bank?) know the problems are so bad that they're hoping to get any money at all out of the property. Could it be that it's so bad that anybody even looking at it would just walk away? I don't see how you can assume any less. "Hope is not a strategy."
I wouldn't bid over the cost of the dirt minus the cost of demolishing the entire structure and filling in the pool, which could conceivably net zero depending on location and local property values. And it could actually be even worse, if there are environmental issues going on. Fixing a house can be significantly more cost than building from nothing, even in relatively OK conditions.
I can't fathom paying for a house sight unseen. I might gamble the money it costs to inspect it, as a spec project, if that was allowed. Nothing short of that.
Here's your worst case scenario: you borrow money (though from which bank I can't imagine). Or you invest your life savings, or borrow from family. Now you're strapped in. You then enter into years of unplanned renovations, layers and layers of bad news, maybe even complete demolition, then environmental studies, engineering, permits, soils reports, etc, etc. $200K just to break ground kind of bad news. (This actually happened to a neighbor of mine.) And because you keep getting in deeper and deeper, you and your family are tied to this nightmare for decades to come. This could be a decision that could impact the rest of your financial life. Which is exactly what happened to a friend of mine. He's turning 70, and can finally sell his mistake for what he bought it for (not all the money he put into it over the years).
Unless you can afford to walk away from whatever you invest, you can't afford this place, at any price.
Again, just sayin' this is what I'd tell my daughter. I don't know you, or your plans or financial situation...