Have you tried? There were still single-arm, paid stage 2 trials recruiting in the UK in December (I can't remember which vaccine). I would've signed-up, but I'm already on the (placebo-controlled, unpaid) J&J stage 3 trial so can't take part in another. A stage 2/3 trial is still more likely to be effective than the homebrew approach, even after accounting for the 50% chance you've been given a placebo. As for how I got onto the stage 3 trial: I signed up here in the summer, and they contacted me in November: https://www.nhs.uk/sign-up-to-be-contacted-for-research
Sort of but not really. I'm an odd case as I had covid in April. I put my name with the NHS anyway in case they still want to try stuff on us survivors.