Join your local model engineering club, is my advice. Someone will have a possible suitable compressor to demonstrate if it runs or not and would likely help you out in making your decision. A new engine might need rather more pressure than when run in a bit.
Lidl recently sold a small compressor of about a kiloWatt, claimed FAD of 180 litres per minute. Very noisy and without a particularly long continuous run time, but might suffice. They cost about fifty quid. There is a review video on you tube.
Time of run will clearly depend on tank pressure and size, for a conventional type of compressor.
I personally would not want to buy a modern “buzz box” compressor. An old cast iron unit, running slowly would be a far nicer prospect for me.
PI D^2 h/4 the volume of a cylinder, where Pi is 22/7, D is diameter and h is length of stroke in this case. Paul’s suggestion is a good starting point. Less than that volume would be no good without some form of pressure regulation, fed from a much higher pressure air receiver., for continuous running.
A profile, with location, might help you get some practical assistance. My air line would likely not reach your location!
Edited By not done it yet on 21/01/2020 07:01:30