Unfortunately you are obviously in a very difficult position if you have no recourse to public funds, because this will also make you ineligible for assistance from the local authority for rehousing.
If you have not been given a notice to leave the property you are in, you should stay put. You didn't answer that question. The landlord has to give you notice to leave, even if you are in rent arrears, and cannot make you leave without getting an order from the court, which due to the pandemic, even if he was able to apply for one tomorrow, it would likely take several months for the matter to come to court, which with any luck will give you time to resolve your leave to remain. Once you have that you will obviously have the ability to claim public assistance.
It is unfortunate but until you get your ILR, there isn't any assistance available for you which relies on public funds. You can approach the council though, they may be able to give you some guidance on finding appropriate assistance in your local authority area for those in your position.
You could also try getting a second job or increasing your current hours - or making a financial claim against your husband for additional support, though that may not be worthwhile if as you say his income is low.