The other method I'll try is an infra-red filter on my Fuji bridge camera. It turns out that pointing it at the sun lets in enough light for the screen to work, so that I can actually point, spot when the sun is in shot, and take a picture in a couple of seconds, rather than faffing about setting up the camera on a tripod, aiming, shoving the filter in etc. Here's one I took today - this was a very rough attempt with the filter and camera hand-held, and I later discovered some smearing on the filter which probably didn't help. I'm hoping that with the filter properly held on etc. it'll be better. There was very light cloud.
This is a completely unmodified photo, apart from conversion to jpg, and I think it's worked reasonably well apart from some flare. Any thoughts?