In reply to mwr72:
Current. You want a lot of current. The more the better. To get this you need a lot of voltage. The more the better. At some point you start to melt the copper wires, then you switch to copper piping and pump coolant through it. When that melts you switch to cryogenically cooled superconducting tape. You're going to need a beefy power supply. It's not really a very safe of practical thing to be doing in a field to be honest.
I would consider a very strong neodinum permanent magnet. Use this inside a small plastic housing that allows you to scrape the screws off, and prevents them from damaging the magnet when impacting. Put it on the end of a stick, mark out a grid on the field using tape or bailing twine and systematically scan each grid cell.
Modern rare earth permanent magnets are also exceptionally dangerous however.
Perhaps a normal magnet would work. Our cat had a little magnet on his collar to open the cat flap, it used to collect little screws and iron filing from flower beds all the time.