I'd say you'd have a couple of expensive months.
I have some of this (although without the new build insulation benefits).
I'm assuming it would be a single rate tariff as it's not storage heaters? But if not and you have cheaper night rate you'd see more benefits.
The downside is that when you need it most, solar is unpredictable. Yesterday I generated 13kwh. Today it was 0.9kwh.
Do you know the wattage of the infrared heaters? Again I have one of these and I like it. It's 700w so if I have a surplus in generation I stick it on but it needs to be a decent sunny day.
Realistically you'll be unlikely to match the draw the heaters require on most winter days and similarly the battery will only discharge at a certain rate that might manage one but not multiple especially when running the rest of the house. Hopefully you'd keep your heat well though.
I'm on a split rate so even without sun I can charge the battery on the cheap rate which is only 5.5p. But it isn't connected to the storage heaters as the draw would be too much and there's no benefit as they only run on the cheap rate. It does run the majority of the rest which is a big saving.
This isn't to say it's not a good system, just that you need to understand the limitations.
In the better months you'll be laughing and will have minimal, if any, bills.
If you pay by DD you should be able to spread out the expensive months (December and January are noticeably shorter for sunlight hours though I am very far north) so it's quite manageable.