Done! Thanks for all the advice - right on the money. I went out Thursday and bought a corded impact driver and some PB Blaster, but only had a chance to try it out today. First thing I discovered was that the flat tipped bits I'd bought wouldn't work with the driver (too short), so I went off to fix that problem. They sold me a magnetic holder that would hold the short bits, seemed like a good idea. I sprayed with the blaster and set up the impact driver, waited a few minutes, and had at it. First thing to happen was the bit breaking. Change the bit. That bit broke, but cleanly, so it could still be used. Broke again, cleanly again. Then the magnetic bit holder collapsed completely, part of it getting stuck in the impact driver, and the bit being stuck in the holder. Aagh! Back to Canadian Tire to return the lot of it, and off to Princess Auto to get a manual one that I could hit with a hammer. At least the one you hit with a hammer would be potentially satisfying, even if it didn't get the screws out!
But it did. With remarkable ease, really - I was done the three screws with no more broken bits and without even further wrecking the screws in about 20 minutes. Brilliant!
As always there are more pictures on my site, and there will be a write up of sorts shortly.
Thanks again,
Chris