Given PowerWall would Octopus Agile (or similar) be cheapest? Does the half-hourly rate actually drop to (close to) £0.00 ?
If you go to the following link you'll download 12 months of half hourly data - to answer your question, yes it does drop that low and sometimes into the negative (not often though!).
https://s3-eu-west-1.amazonaws.com/.../data/agile-rates/agile_rates.2018-12-20.xlsx