I would start by making it illegal to let unless the landlord was registered. LLs could avoid this by using a proper regulated (eg ARLA) agency to let their property, or they could have a personal registration which would come with a shedload of inspections.
They will whine about cost but actually this is often about tax evasion. Dodgy LLs often dont declare their tax, whereas if you use a ARLA agent they disclose the rental income to HMRC.
I would also personally raise both the minimum wage and the tax free personal allowance, and then restrict the rise in HB, so that individual working families dont lose out during the transition, but the money isnt linked to housing costs specifically.
I am sceptical how much HB actually pushes rents up. It seems to me that it is more about housing shortages and unaffordability. So I would build far more social housing, much of it for the elderly, because that would free up housing stock- and let's face it, renting is the rational thing to do when you are elderly, if your pension covers the cost and you can trust the LL. That way, if your needs change, you can move; also also, when you die, your pension dies with you and so does the rental commitment; but your kids have had the benefit of your capital for several years. (Obviously it has to work for a surviving spouse).
As for local councils being prohibited from borrowing more: this is now a national issue, not a local one, so there should be a national funding scheme for it. Borrowing can be done by the Treasury and funded by reductions in HB.
I would also have government backed 40-year mortgages with nil deposits, and ppl can choose to claim HB or to be covered by the scheme. The cost of insuring against default would probably be less than paying HB.
Me for president 