Check my post a few up with the current and new rates from July for Flux. These vary by region but yours won't be millions of miles off mine.
With your battery setup you can just spam charge the battery for about £2 a day, and then run in the day for whatever the battery can provide + solar on top.
Exported solar is relatively neutral vs imported cheaper units at night, so 1 kWh imported from 02:00 - 05:00 is around 20p/kWh currently, and I get paid 22.5p/kWh for exported units, but due to efficiency losses you don't really gain or lose anything on that trade. I do it anyway as it means if there is no sun I am covered pretty well.
If you can pay £2~ to fill that battery, and export enough to get paid £2 whilst not using much (if anything) from the grid all day, you'll hit your neutral target.
Flux will just not be as good if you don't export really anything at all, or even worse if you wind up drawing grid units at the peak (16:00 - 19:00) because that costs you a lot more than SVR.
You can see on my table of sample units, that is based on an actual bill, and I barely used any peak rate units, minimal unavoidable day rate units, and most of my usage came from off-peak via battery charge overnight.
Likewise I exported nothing at the cheapest rate (02:00 - 05:00) and aimed to maximise my peak rate unit exports as much as I could.
Flux will probably work OK for you but you will definitely need to re-evaluate tariff around September.