One year, through a series of unhappy events, it all fell apart . I found myself homeless and alone. I had my truck and $56. I searched the countryside for some place I could rent for the cheapest possible amount. I came upon a shabby house four miles up a winding mountain road over the Potomac River in West Virginia. It was (abandoned/emptied) , full of broken glass and rubbish. I found the owner ,rented it, and cleared a corner to camp in.
1. Is "for the cheapest possible amount" a natural collocation? I thought "for the lowest possible amount" would be better. We say a low price instead of a cheap price, don't we? A very natural phrase would be "as cheaply as possible." I agree that lowest price is more common than cheapest price, but the latter is also heard.
2. Is the road vertically above a river if a road is over the river?
To me it is ambiguous. I think he means above the river, but it might also mean that the road crosses the river.
3. The answer is "abandoned". But if it is an abandoned house, why should I rent the house? Can I choose "emptied " instead?
No. Emptied does not work and abandoned is good usage. You could also say vacant house.